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Geometryword problem

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Senior | Next Rank: 100 Posts
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Geometryword problem

by mpaudena » Fri Sep 18, 2009 10:14 am
The perimeter of square region S and rectangular region R are equal. If the sides of R are in the ratio 2: 3, what is the ratio of the area of region R to the area of region S?

A) 25: 16

B) 24: 25

C) 5: 6

D) 4: 5

E) 4: 9

Please tell me answer and how you arrived at the answer. Thanks.
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by m&m » Fri Sep 18, 2009 10:24 am
if rectangle has ratio of 2:3 then 2x+3x+2x+3x = 10x is total perimeter. Then square has sides of 2.5x = 5/2x

so area is (2x*3x)/((5/2*x)*(5/2*x)) = 6/(25/4) = 6*4/25 = 24/25

so B


hope that helps
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by mpaudena » Fri Sep 18, 2009 11:14 am
U make it simply. That's awsome. Thanks.l
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