Step: 1

The area of the figure on a grid can be found by counting the number of squares enclosed by the figure and its perimeter can be found by adding the lengths of the boundary.

Step: 2

Figure A has an area of 8 square units and a perimeter of 12 units.

Step: 3

Figure 1 has an area of 6 square units and a perimeter of 10 units.

Figure 2 has an area of 12 square units and a perimeter of 16 units.

Figure 2 has an area of 12 square units and a perimeter of 16 units.

Step: 4

Figure 3 has an area of 9 square units and a perimeter of 12 units.

Figure 4 has an area of 8 square units and a perimeter of 18 units.

Figure 4 has an area of 8 square units and a perimeter of 18 units.

Step: 5

Therefore, Figure 3 has the same area as that of Figure A but a different perimeter.

Correct Answer is : Figure 3

Step: 1

The area of the figure on a grid can be found by counting the number of squares enclosed by the figure and its perimeter can be found by adding the lengths of the boundary.

Step: 2

Figure A has an area of 14 square units and a perimeter of 30 units.

Step: 3

Figure 1 has an area of 14 square units and a perimeter of 18 units.

Figure 2 has an area of 12 square units and a perimeter of 16 units.

Figure 2 has an area of 12 square units and a perimeter of 16 units.

Step: 4

Figure 3 has an area of 24 square units and a perimeter of 20 units.

Figure 4 has an area of 20 square units and a perimeter of 18 units.

Figure 4 has an area of 20 square units and a perimeter of 18 units.

Step: 5

Therefore, Figure 1 has the same area as that of Figure A but a different perimeter.

Correct Answer is : Figure 1

Step: 1

Tiling the given figures based on their side lengths.

Step: 2

Step: 3

Figure 1 has 3 rows and 8 columns.

Area = 3 × 8 = 24 sq units

Area = 3 × 8 = 24 sq units

[Number of rows × Number of columns]

Step: 4

Perimeter = 3 + 8 + 3 + 8 = 22 units

Step: 5

Figure 2 has 4 rows and 5 columns.

Area = 4 × 5 = 20 sq units.

Area = 4 × 5 = 20 sq units.

Step: 6

Perimeter = 4 + 5 + 4 + 5= 18 units

[Add all the four side lengths.]

Step: 7

Figure 3 has 5 rows and 6 columns.

Area = 5 × 6 = 30 sq units

Area = 5 × 6 = 30 sq units

[Number of rows × Number of columns]

Step: 8

Perimeter = 5 + 6 + 5 + 6 = 22 units

[Add all the four side lengths.]

Step: 9

Figure 4 has 3 rows and 5 columns.

Area = 3 × 5 = 15 sq units

Area = 3 × 5 = 15 sq units

[Number of rows × Number of columns]

Step: 10

Perimeter = 3 + 5 + 3 + 5 = 16 units

[Add all the four side lengths.]

Step: 11

By comparing areas and perimeters of all the given figures, we observed that Figure 1 and Figure 3 have same perimeter but different areas.

Correct Answer is : Figure 1 and Figure 3

Step: 1

Tiling the given figures based on their side lengths.

Step: 2

Step: 3

Figure 1 has 3 rows and 8 columns.

Area = 3 × 8 = 24 sq units

Area = 3 × 8 = 24 sq units

[Number of rows × Number of columns]

Step: 4

Perimeter = 3 + 8 + 3 + 8 = 22 units

[Add all the four side lengths.]

Step: 5

Figure 2 has 4 rows and 5 columns.

Area = 4 × 5 = 20 sq units

Area = 4 × 5 = 20 sq units

[Number of rows × Number of columns]

Step: 6

Perimeter = 4 + 5 + 4 + 5= 18 units

[Add all the four side lengths.]

Step: 7

Figure 3 has 2 rows and 6 columns.

Area = 2 × 6 = 12 sq units

Area = 2 × 6 = 12 sq units

[Number of rows × Number of columns]

Step: 8

Perimeter = 2 + 6 + 2 + 6 = 16 units

[Add all the four side lengths.]

Step: 9

Figure 4 has 1 row and 7 columns.

Area = 1 × 7 = 7 sq units

Area = 1 × 7 = 7 sq units

[Number of rows × Number of columns]

Step: 10

Perimeter = 1 + 7 + 1 + 7 = 16 units

[Add all the four side lengths.]

Step: 11

By comparing areas and perimeters of all the given figures, we observed that Figure 3 and Figure 4 have same perimeter but different areas.

Correct Answer is : Figure 3 and Figure 4

Step: 1

Tiling the given figures based on their side lengths.

Step: 2

Step: 3

Figure 1 has 4 rows and 4 columns.

Area = 4 × 4 = 16 sq units

Area = 4 × 4 = 16 sq units

[Number of rows × Number of columns]

Step: 4

Perimeter = 4 + 4 + 4 + 4 = 16 units

[Add all the four side lengths.]

Step: 5

Figure 2 has 4 rows and 5 columns.

Area = 4 × 5 = 20 sq units

Area = 4 × 5 = 20 sq units

[Number of rows × Number of columns]

Step: 6

Perimeter = 4 + 5 + 4 + 5= 18 units

[Add all the four side lengths.]

Step: 7

Figure 3 has 3 rows and 4 columns.

Area = 3 × 4 = 12 sq units

Area = 3 × 4 = 12 sq units

[Number of rows × Number of columns]

Step: 8

Perimeter = 3 + 4 + 3 + 4 = 14 units

[Add all the four side lengths.]

Step: 9

Figure 4 has 3 rows and 6 columns.

Area = 3 × 6 = 18 sq units

Area = 3 × 6 = 18 sq units

[Number of rows × Number of columns]

Step: 10

Perimeter = 3 + 6 + 3 + 6 = 18 units

[Add all the four side lengths.]

Step: 11

By comparing areas and perimeters of all the given figures, we observed that Figure 2 and Figure 4 have same perimeter but different areas.

Correct Answer is : Figure 2 and Figure 4

Step: 1

Tiling the given figures based on their side lengths.

Step: 2

Step: 3

Figure 1 has 3 rows and 4 columns.

Area = 3 × 4 = 12 sq units

Area = 3 × 4 = 12 sq units

[Number of rows × Number of columns]

Step: 4

Perimeter = 3 + 4 + 3 + 4 = 14 units

[Add all the four side lengths.]

Step: 5

Figure 2 has 4 rows and 5 columns.

Area = 4 × 5 = 20 sq units

Area = 4 × 5 = 20 sq units

[Number of rows × Number of columns]

Step: 6

Perimeter = 4 + 5 + 4 + 5 = 18 units

[Add all the four side lengths.]

Step: 7

Figure 3 has 2 rows and 7 columns.

Area = 2 × 7 = 14 sq units

Area = 2 × 7 = 14 sq units

[Number of rows × Number of columns]

Step: 8

Perimeter = 2 + 7 + 2 + 7 = 18 units

[Add all the four side lengths.]

Step: 9

Figure 4 has 3 rows and 2 columns.

Area = 3 × 2 = 6 sq units

Area = 3 × 2 = 6 sq units

[Number of rows × Number of columns]

Step: 10

Perimeter = 3 + 2 + 3 + 2 = 10 units

[Add all the four side lengths.]

Step: 11

By comparing areas and perimeters of all the given figures, we observed that Figure 2 and Figure 3 have same perimeter but different areas.

Correct Answer is : Figure 2 and Figure 3

Step: 1

Tiling the given figures based on their side lengths.

Step: 2

Step: 3

Figure 1 has 3 rows and 5 columns.

Area = 3 × 5 = 15 sq units

Area = 3 × 5 = 15 sq units

[Number of rows × Number of columns]

Step: 4

Perimeter = 3 + 5 + 3 + 5 = 16 units

[Add all the four side lengths.]

Step: 5

Figure 2 has 4 rows and 5 columns.

Area = 4 × 5 = 20 sq units

Area = 4 × 5 = 20 sq units

[Number of rows × Number of columns]

Step: 6

Perimeter = 4 + 5 + 4 + 5 = 18 units

[Add all the four side lengths.]

Step: 7

Figure 3 has 2 rows and 5 columns.

Area = 2 × 5 = 10 sq units

Area = 2 × 5 = 10 sq units

[Number of rows × Number of columns]

Step: 8

Perimeter = 2 + 5 + 2 + 5 = 14 units

[Add all the four side lengths.]

Step: 9

Figure 4 has 1 row and 6 columns.

Area = 1 × 6 = 6 sq units

Area = 1 × 6 = 6 sq units

[Number of rows × Number of columns]

Step: 10

Perimeter = 1 + 6 + 1 + 6 = 14 units

[Add all the four side lengths.]

Step: 11

By comparing areas and perimeters of all the given figures, we observed that Figure 3 and Figure 4 have same perimeter but different areas.

Correct Answer is : Figure 3 and Figure 4

Step: 1

Tiling the given figures based on their side lengths.

Step: 2

Step: 3

Figure 1 has 3 rows and 7 columns.

Area = 3 × 7 = 21 sq units

Area = 3 × 7 = 21 sq units

[Number of rows × Number of columns]

Step: 4

Perimeter = 3 + 7 + 3 + 7 = 20 units

[Add all the four side lengths.]

Step: 5

Figure 2 has 4 rows and 5 columns.

Area = 4 × 5 = 20 sq units

Area = 4 × 5 = 20 sq units

[Number of rows × Number of columns]

Step: 6

Perimeter = 4 + 5 + 4 + 5 = 18 units

[Add all the four side lengths.]

Step: 7

Figure 3 has 2 rows and 5 columns.

Area = 2 × 5 = 10 sq units

Area = 2 × 5 = 10 sq units

[Number of rows × Number of columns]

Step: 8

Perimeter = 2 + 5 + 2 + 5 = 14 units

[Add all the four side lengths.]

Step: 9

Figure 4 has 4 rows and 6 columns.

Area = 4 × 6 = 24 sq units

Area = 4 × 6 = 24 sq units

[Number of rows × Number of columns]

Step: 10

Perimeter = 4 + 6 + 4 + 6 = 20 units

[Add all the four side lengths.]

Step: 11

By comparing areas and perimeters of all the given figures, we observed that Figure 1 and Figure 4 have same perimeter but different areas.

Correct Answer is : Figure 1 and Figure 4

Step: 1

Tiling the given figures based on their side lengths.

Step: 2

Step: 3

Figure 1 has 4 rows and 8 columns.

Area = 4 × 8 = 32 sq units

Area = 4 × 8 = 32 sq units

[Number of rows × Number of columns]

Step: 4

Perimeter = 4 + 8 + 4 + 8 = 24 units

[Add all the four side lengths.]

Step: 5

Figure 2 has 5 rows and 7 columns.

Area = 5 × 7 = 35 sq units

Area = 5 × 7 = 35 sq units

[Number of rows × Number of columns]

Step: 6

Perimeter = 5 + 7 + 5 + 7 = 24 units

[Add all the four side lengths.]

Step: 7

Figure 3 has 5 rows and 8 columns.

Area = 5 × 8 = 40 sq units

Area = 5 × 8 = 40 sq units

[Number of rows × Number of columns]

Step: 8

Perimeter = 5 + 8 + 5 + 8 = 26 units

[Add all the four side lengths.]

Step: 9

Figure 4 has 6 rows and 8 columns.

Area = 6 × 8 = 48 sq units

Area = 6 × 8 = 48 sq units

[Number of rows × Number of columns]

Step: 10

Perimeter = 6 + 8 + 6 + 8 = 28 units

[Add all the four side lengths.]

Step: 11

By comparing areas and perimeters of all the given figures, we observed that Figure 1 and Figure 2 have same perimeter but different areas.

Correct Answer is : Figure 1 and Figure 2

Step: 1

Figure A has 2 rows and 9 columns.

Step: 2

Area = 2 × 9 = 18 sq units

[Number of rows × Number of columns.]

Step: 3

Perimeter = 2 + 9 + 2 + 9 = 22 units

[Add all the four side lengths.]

Step: 4

Figure 1 has 5 rows and 5 columns.

Step: 5

Area = 5 × 5 = 25 sq units

[Number of rows × Number of columns.]

Step: 6

Perimeter = 5 + 5 + 5 + 5 = 20 units

[Add all the four side lengths.]

Step: 7

Figure 2 has 3 rows and 6 columns.

Step: 8

Area = 3 × 6 = 18 sq units

[Number of rows × Number of columns.]

Step: 9

Perimeter = 3 + 6 + 3 + 6 = 18 units

[Add all the four side lengths.]

Step: 10

Figure 3 has 4 rows and 6 columns.

Step: 11

Area = 4 × 6 = 24 sq units

[Number of rows × Number of columns.]

Step: 12

Perimeter = 4 + 6+ 4 + 6 = 20 units

[Add all the four side lengths.]

Step: 13

Figure 4 has 4 rows and 5 columns.

Step: 14

Area = 4 × 5 = 20 sq units

[Number of rows × Number of columns.]

Step: 15

Perimeter = 4 + 5 + 4 + 5 = 18 units

[Add all the four side lengths.]

Step: 16

By comparing areas and perimeters of all the given figures, we observed that Figure A and Figure 2 has same areas but different perimeters.

Correct Answer is : Figure 2

Step: 1

Figure A has 6 rows and 5 columns.

Area = 6 × 5 = 30 sq units

Area = 6 × 5 = 30 sq units

[Number of rows × Number of columns]

Step: 2

Perimeter = 6 + 5 + 6 + 5 = 22 units

[Add all the four side lengths.]

Step: 3

Figure 1 has 2 rows and 15 columns.

Area = 2 × 15 = 15 × 2 = 30 sq units

Area = 2 × 15 = 15 × 2 = 30 sq units

[Number of rows × Number of columns]

Step: 4

Perimeter = 2 + 15 + 2 + 15= 34 units

[Add all the four side lengths.]

Step: 5

Figure 2 has 3 rows and 7 columns.

Area = 3 × 7 = 21 sq units

Area = 3 × 7 = 21 sq units

[Number of rows × Number of columns]

Step: 6

Perimeter = 3 + 7 + 3 + 7 = 20 units

[Add all the four side lengths.]

Step: 7

Figure 3 has 5 rows and 4 columns.

Area = 5 × 4 = 20 sq units

Area = 5 × 4 = 20 sq units

[Number of rows × Number of columns]

Step: 8

Perimeter = 5 + 4 + 5 + 4 = 18 units

[Add all the four side lengths.]

Step: 9

Figure 4 has 2 rows and 12 columns.

Area = 2 × 12 = 12 × 2 = 24 sq units

Area = 2 × 12 = 12 × 2 = 24 sq units

[Number of rows × Number of columns]

Step: 10

Perimeter = 2 + 12 + 2 + 12 = 28 units

[Add all the four side lengths.]

Step: 11

By comparing areas and perimeters of all the given figures, we observed that Figure A and Figure 1 has same areas but different perimeters.

Correct Answer is : Figure 1

Step: 1

Tiling the given figures based on their side lengths.

Step: 2

Step: 3

Figure 1 has 4 rows and 7 columns.

Area = 4 × 7 = 28 sq units

Area = 4 × 7 = 28 sq units

[Number of rows × Number of columns]

Step: 4

Perimeter = 4 + 7 + 4 + 7 = 22 units

[Add all the four side lengths.]

Step: 5

Figure 2 has 4 rows and 10 columns.

Area = 4 × 10 = 10 × 4 = 40 sq units

Area = 4 × 10 = 10 × 4 = 40 sq units

[Number of rows × Number of columns]

Step: 6

Perimeter = 4 + 10 + 4 + 10= 28 units

[Add all the four side lengths.]

Step: 7

Figure 3 has 5 rows and 6 columns.

Area = 5 × 6 = 30 sq units

Area = 5 × 6 = 30 sq units

[Number of rows × Number of columns]

Step: 8

Perimeter = 5 + 6 + 5 + 6 = 22 units

[Add all the four side lengths.]

Step: 9

Figure 4 has 5 rows and 8 columns.

Area = 5 × 8 = 40 sq units

Area = 5 × 8 = 40 sq units

[Number of rows × Number of columns]

Step: 10

Perimeter = 5 + 8 + 5 + 8 = 26 units

[Add all the four side lengths.]

Step: 11

By comparing areas and perimeters of all the given figures, we observed that Figure 2 and Figure 4 has same areas but different perimeters.

Correct Answer is : Figure 2 and Figure 4

Step: 1

Tiling the given figures based on their side lengths.

Step: 2

Figure 1 has 5 rows and 6 columns.

Step: 3

Area = 5 × 6 = 30 sq units

[Number of rows × Number of columns.]

Step: 4

Perimeter = 5 + 6 + 5 + 6 = 22 units

[Add all the four side lengths.]

Step: 5

Figure 2 has 2 rows and 14 columns.

Step: 6

Area = 2 × 14 = 14 × 2 = 28 sq units

[Number of Rows × Number of Columns.]

Step: 7

Perimeter = 2 + 14 + 2 + 25 = 32 units

[Add all the four side lengths.]

Step: 8

Figure 3 has 4 rows and 7 columns.

Step: 9

Area = 4 × 7 = 28 sq units

[Number of rows × Number of columns.]

Step: 10

Perimeter = 4 + 7 + 4 + 7 = 22 units

[Add all four side lengths.]

Step: 11

Figure 4 has 2 rows and 5 columns.

Step: 12

Area = 2 × 5 = 10 sq units

[Number of rows × Number of columns.]

Step: 13

Perimeter = 2 + 5 + 2 + 5 = 14 units

[Add all the four side lengths.]

Step: 14

By comparing areas and perimeters of all the given figures, we observed that Figure 2 and Figure 3 has same areas but different perimeters.

Correct Answer is : Figure 2 and Figure 3

- Telling Time to the nearest Minute-Gr 3-Solved Examples
- Elapsed Time-Gr 3-Solved Examples
- Measuring Length Using Ruler-Gr 3-Solved Examples
- Estimating Metric Units-Gr 3-Solved Examples
- Using Operations to Solve Problems Involving Volume and Mass-Gr 3-Solved Examples
- Perimeter of Polygons-Gr 3-Solved Examples
- Finding an Unknown Dimension of a Polygon-Gr 3-Solved Examples
- Finding Area of Rectangles by Tiling-Gr 3-Solved Examples
- Area of Plane Figures - Counting Unit Squares-Gr 3-Solved Examples
- Finding Areas of Rectilinear Figures-Gr 3-Solved Examples
- Solving Problems on Area of Rectangles-Gr 3-Solved Examples
- Representing Distributive Property Using Area Models-Gr 3-Solved Examples
- Constructing Pictographs-Gr 3-Solved Examples
- Constructing Bar Graphs-Gr 3-Solved Examples
- Interpreting Bar Graphs-Gr 3-Solved Examples