#### Solved Examples and Worksheet for Solving Problems on Area of Rectangles

Q1A cardboard is in the form of a rectangle as shown below. How many square meters is the cardboard?

A. 170 square meters
B. 135 square meters
C. 153 square meters
D. 134 square meters

Step: 1
Given side lengths are 9 and 17.
Step: 2
Tiling the cardboard with given lengths as shown below.
Step: 3
Number of square meters = 9 × 17 = 153 square meters.
Step: 4
Therefore, the cardboard is of 153 square meters.
Correct Answer is :   153 square meters
Q2A rectangular park has lengths as shown below. Calculate its area.

A. 170 square meters
B. 190 square meters
C. 181 square meters
D. 162 square meters

Step: 1
Given side lengths are 9 and 18.
Step: 2
From this we know number of rows = 9
Step: 3
and number of columns = 18 as shown in below figure.
Step: 4
Therefore area = number of rows × number of columns
Step: 5
9 × 18
[substitute the values]
Step: 6
= 162 square meters
Step: 7
Therefore area of the rectangular park = 162 square meters.
Correct Answer is :   162 square meters
Q3A corn field is in the form of a rectangle which measures 17 yards long and 5 yards wide. Calculate the number of square yards the cornfield is.

A. 70 square yards
B. 98 square yards
C. 76 square yards
D. 85 square yards

Step: 1
Given side lengths are 17 and 5
Step: 2
rows = 5 and columns = 17, tiling the rectangle cornfield as below.
Step: 3
Its area, that is number of square yards = rows × columns
Step: 4
= 5 × 17
Step: 5
= 85 square yards
Step: 6
Therefore, the cornfield is 85 square yards.
Correct Answer is :   85 square yards
Q4George wants to tile the bathroom floor using 1 foot tiles. How many square foot tiles will he need?

A. 77 square ft
B. 69 square ft
C. 75 square ft
D. 88 square ft

Step: 1
George's bathroom floor is in the shape of a rectangle.
Step: 2
Given side lengths are 11 ft and 8 ft
Step: 3
Tiling it as shown below.
Step: 4
He will need 8 × 11 = 88 square foot tiles.
Correct Answer is :   88 square ft
Q5The length and width of a metal sheet are 22 in. and 5 in. respectively. Find the area of the metal sheet

A. 120 square inches
B. 88 square inches
C. 90 square inches
D. 110 square inches

Step: 1
Metal sheet is in the shape of a rectangle.
Step: 2
Multiply = 5 x 22 = 110 square inches.
Step: 3
Area of the metal sheet is 110 square inches.
Correct Answer is :   110 square inches
Q6A corn field is in the form of a rectangle with length 8 yards and width 7 yards. Find the area of the field.

A. 48 square yards
B. 70 square yards
C. 56 square yards
D. 63 square yards

Step: 1
Given side lengths are 8 and 7
Step: 2
rows = 7 and columns = 8, tiling the rectangle cornfield as below.
Step: 3
Its area, that is number of square yards = rows × columns
Step: 4
= 7 × 8
Step: 5
= 56 square yards
Step: 6
Therefore, the cornfield is 56 square yards.
Correct Answer is :   56 square yards
Q7Cindy wants to make curtains for her decorative window, whose shape is as shown in the figure. How many square meters curtain will she need to cover the full window?

A. 66 square meters
B. 56 square meters
C. 88 square meters
D. 58 square meters

Step: 1
Window is 11 meters tall and 6 meters wide.
Step: 2
Multiply = 11 × 6 = 66 square meters.
Step: 3
Window is 66 square meters.
Step: 4
Therefore Cindy needs 66 square meters curtain to cover the window.
Correct Answer is :   66 square meters
Q8Natalia wants to cover the upper surface of the rectangular table which is 15 cm by 7 cm. How many square cm cloth is needed to cover the complete upper surface of the table.

A. 105 square cm
B. 140 square cm
C. 135 square cm
D. 165 square cm

Step: 1
Tiling the upper surface of the table as shown below.
Step: 2
Multiply = 7 × 15 = 105 square cm
Step: 3
So Natalia will need 105 square cm cloth to cover the upper surface of the table.
Correct Answer is :   105 square cm
Q9Tim wants to tile the bathroom floor using 1 foot tiles. How many square foot tiles will he need?

A. 126 square ft
B. 134 square ft
C. 162 square ft
D. 115 square ft

Step: 1
Tim's bathroom floor is in the shape of a rectangle.
Step: 2
Given side lengths are 14 ft and 9 ft
Step: 3
Tiling it as shown below.
Step: 4
He will need 14 × 9 = 126 square foot tiles.
Correct Answer is :   126 square ft
Q10Audrey has a living study room which is 10 m long and 9 m wide. She wants to carpet the study room. How many square meters of carpet is needed?

A. 160 square meters
B. 154 square meters
C. 90 square meters
D. 54 square meters

Step: 1
The side lengths of the study room are 10 and 9.Tiling the room as shown below.
Step: 2
Number of square meters of carpet needed = 10 × 9 = 90 square meters
Step: 3
Therefore Audrey needs 90 square meters of carpet.
Correct Answer is :   90 square meters