Question 87

ΔABC is similar to ΔPQR. Length of AB is 36 cm and length of the corresponding side PQ is 16 cm. If area of ΔABC is 1296 sq cm, what is the area of ΔPQR?

Solution

It is given that ΔABC $$\sim$$ ΔPQR

Also, length of AB = 36 cm and length of the corresponding side PQ = 16 cm

Let area of ΔPQR = $$x$$ sq cm

=> Ratio of Area of ΔABC : Area of ΔPQR = Ratio of square of corresponding sides = $$(AB)^2$$ : $$(PQ)^2$$

=> $$\frac{1296}{x} = \frac{(36)^2}{(16)^2}$$

=> $$x = (16)^2 = 256$$ sq cm

=> Ans - (D)

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