If the ratio of the perimeter of two similar triangles is 9:16 then what is the ratio of the area?

Let the two triangles be ABC and PQR.

So the ratio of the areas of two similar triangles is equal to the square of the ratio of the corresponding sides.

Therefore, the ratio of the area is  (9/16)^2

= (81/256) or 81 : 256.

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