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Geometry- the length of the squre is added by 5cm. to form a new square.the area of the new square is 2.25 times the area of the original square.find the area of each square.show your solution.

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This is a math problem?

the area of the old square was 100, the new one is 225

say the old squares side was X, so the area was X^2

the new square has area 2.25 X^2

take the square root to find the side of the new square: 1.5 X

so we know that the side of the old square plus 5cm is the side of the new square. so X + 5 = 1.5 X
solve that to find X = 10,

so the area of the old square was X ^ 2 = 100
and the area of the new square is 2.25 X ^ 2 = 225 :)


Posted on Aug 10, 2008

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Posted on Jan 02, 2017

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The figure are similar, corresponding sides are proprtional
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However, if scale factor for lengths is k, the ratio of area is k^2 find
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Use the given area to find the proportionality factor then use it the ratio of length to find the missing distance between the parallel sides.
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