Step: 1

New area of the parking lot = Area of the original parking lot × (scale factor)^{2}

[Increasing the length of a side of an object by factor x increases the area by factor x ^{2} .]

Step: 2

= (19 × 12) × (3.5)^{2}

Step: 3

= 2793 ft^{2}

Step: 4

Therefore, the new area of the parking lot is 2793 ft^{2}.

Correct Answer is : 2793 ft^{2}

Step: 1

New area of the lawn = Area of the original lawn × (scale factor)^{2}

[Increasing the length of a side of an object by factor x increases the area by factor x ^{2} .]

Step: 2

= (17 × 15) × (3)^{2}

Step: 3

= 2295 ft^{2}

Step: 4

Therefore, the new area of the lawn is 2295 ft^{2}.

Correct Answer is : 2295 ft^{2}

Step: 1

New area of the ground = Area of the original ground × (scale factor)^{2}

[Increasing the length of a side of an object by factor x increases the area by factor x ^{2} .]

Step: 2

= (15 × 15) × (4)^{2}

Step: 3

= 3600 ft^{2}

Step: 4

Therefore, the new area of the ground is 3600 ft^{2}.

Correct Answer is : 3600 ft^{2}

Step: 1

New area of the field = Area of the original field × (scale factor)^{2}

[Increasing the length of a side of an object by factor x increases the area by factor x ^{2} .]

Step: 2

= (24 × 18) × (2.5)^{2}

Step: 3

= 2700 ft^{2}

Step: 4

Therefore, the new area of the field is 2700 ft^{2}.

Correct Answer is : 2700 ft^{2}

Step: 1

Area of the larger circle = 80 cm^{2}

Scale factor of the enlargement, k = 4

Scale factor of the enlargement, k = 4

Step: 2

Area of object = Area of image ÷ k^{2}

Step: 3

Area of the smaller circle = Area of the larger circle ÷ k^{2}

Step: 4

= 80 ÷ 4^{2}

[Substitute the values.]

Step: 5

= 80 ÷ 16

= 5

= 5

[Divide.]

Step: 6

Therefore, the area of the smaller circle is 5 cm^{2}.

Correct Answer is : 5 cm^{2}

Step: 1

Area of the circular garden = 20 cm^{2}

Step: 2

Scale factor of the enlargement, k = 3.5

Step: 3

Area of image = k^{2} × Area of the object

Step: 4

Area of the enlarged garden = Area of the original garden × k^{2}

Step: 5

= 20 × 3.5^{2}

[Substitute the values.]

Step: 6

= 20 × 12.25

= 245cm^{2}

= 245cm

[Multiply.]

Step: 7

Area of the shaded region = Area of the enlarged garden - Area of the original garden

Step: 8

= 245 - 20

= 225

= 225

[Substitute the values and subtract.]

Step: 9

Therefore, the area of the shaded region is 225 cm^{2}.

Correct Answer is : 225 cm^{2}

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