Square ABCD is similar to square EFGH. The ratio of AB:EF is 1:4. The area of square EFGH is 14,000ft^2. What is AB?

Question

asked Jul 2, 2023 105k views

1 Answer

VBK · Answer 1 · 2023-07-08T15:04:51+0000

Answer: 5sqrt(35)

Explanation:

If the ratio of the side lengths is 1:4, since the ratio of the areas is the square of the ratio of the side lengths, the ratio of the areas is 1:16.

This means the area of square ABCD is 14000/16 = 875.

Therefore, AB=sqrt(875)=5sqrt(35).