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| Square and Rectangle (Posted on 2019-07-04) |
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ABCD is a square with point E on BC. DEFG is a rectangle with point A on FG.
Let x=CE. Express area(ABCD)/area(DEFG) in terms of x.
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Submitted by Brian Smith
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Rating: 4.0000 (1 votes)
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Solution:
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Triangles CDE and GDA are similar triangles. Then CD/DE = GD/DA. Rearrange this ratio to form CD*DA = GD*DE.
CD*DA is the area of the square and GD*DE is the area of the rectangle. Therefore the ratio area(ABCD)/area(DEFG) is always 1. |
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