jacieemariejace4150 jacieemariejace4150

01-03-2022
Mathematics

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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?

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Medunno13 Medunno13

01-03-2022

Answer: 5sqrt(35)

Step-by-step 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).

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