Two similar triangles have perimeters 28 cm and 42 cm. The area of the smaller triangle is $40 cm^{2}$ .
Find the area of the larger triangle (in $cm^{2}$ ).

Question

Two similar triangles have perimeters 28 cm and 42 cm. The area of the smaller triangle is 40 cm^2. Find the area of the larger triangle (in cm^2).

Accepted Answer

90. Side ratio = perimeter ratio = 42/28 = 3/2. Area ratio = (3/2)^2 = 9/4. Larger area = 40 * 9/4 = 90 cm^2.

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