Question

An artist wants to scale down the surface area of an image by 20%. The image initially has a length of 22 ft. and a width of 22 ft. What is the width of the scaled down image? Round to the nearest hundredth.

17.08 ft.
17.89 ft.
18.78 ft.
19.68 ft.

Answer 1

17.89 ft if I'm correct.....

Answer 2

• D. 19.68 ft

Explanation:

Area is the product of two dimensions.

If the scale factor is k, the ratio of areas is k².

20% down means 0.8 times:

• k² = 0.8
• k = √0.8 = 0.8944

Now the width of the image is:

• 22*0.8944 = 19.68 ft (rounded)

Correct choice is D