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Help with some Geometry

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1) Square ABCD and rectangle ACEG have the same area. Find the ratio AC:CE.

I got 2sqrt5/5 but it was incorrect.

2) A large square is divided into 4 small congruent rectangles and a small square as shown. The areas of the large and small squares are 25 and 7, respectively. What is the length of a diagonal of a small rectangle?

Dec 30, 2019

3+0 Answers

#1
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I suck at geo, but i'll try this anyway.

Call AD y and DC z. Then AC = sqrt(y^2+z^2). We also know that yz = GE * CE. CE, by our equation, is equal to yz/GE. Therefore, our answer should be (sqrt(y^2+z^2))/(yz/GE). I'll leave you to simplify that.

Hope this helped!

Dec 30, 2019
#3
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Ok my last two posts are flagged for moderation because they both said I s_ ck at geo with the blank space as a u. I didn't mean to offend, am I in trouble?

Dec 30, 2019
#4
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You are not in trouble. The blanking happens automatically.

But you are best to avoid such words.

Melody  Dec 31, 2019