# Two similar triangles have perimeters of 60 and 36 inches. Find the area of the smaller triangle if the corresponding area of the smaller triangle if the corresponding area of the larger triangle is 100 square inches.

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Two similar triangles have perimeters of 60 and 36 inches. Find the area of the smaller triangle if the corresponding area of the smaller triangle if the corresponding area of the larger triangle is 100 square inches.

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Step 1

We know that ratio of areas of similar triangles is equal to square of ratio of perimeters of the triangles

Step 2

Ratio of perimeters of the given similar triangle is 60/36, that is 5/3

Therefore , ratio of areas of triangles is (5/3)^2, that is 25/9

Step 3

Area of larger triangle is 100 square inches. Let a...

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