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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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21 votes
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?

User Tomasz Janek
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1 Answer

7 votes
7 votes

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).

User VBK
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2.9k points
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