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The perimeter of two similar triangles ABC and PQR are 35 cm and 45 cm respectively. Then, the ratio of the areas of the two triangles is ____.

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Detailed Solution

Here, ABC and PQR are the two similar triangles.
Area of similar triangles theorem:
Question Image

Perimeters of two similar triangles

and

are

and

.
Property of similarity of triangles:

Thus,

Substitute the value of perimeters of two similar triangles:

Applying Area of similar triangles theorem and substitute the value of eq 2:
Question Image

Hence, the ratio of the areas of the two triangles is:

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