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The perimeters of two similar triangles is in the ratio 3:4. The sum of their area is 75cm^2. Find the area of each triangle.
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If the perimeters' ratio is 3:4, then the areas' ratio is 9:16 (the triangles are similar !).
Since S1 + S2 = 75 and = , then
S1 = = = 3*9 = 27 and
S2 = = = 3*16 = 48 .