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Triangle ABC ~ triangle PQR with AB = 4 cm and PQ = 6 cm. If area of triangle ABC is $16 cm^{2}$ , find area of triangle PQR (in $cm^{2}$ ).

Class 10Areas of Similar TrianglesGeometry — Similarity

A32
B36
C72
D40

Step-by-Step Solution

Area(PQR)/Area(ABC) =

(PQ / A B)^{2} = (\frac{6}{4})^{2} = \frac{9}{4}

. So Area(PQR) =

16 \times \frac{9}{4} = 36 cm^{2}

.

Answer: B) 36

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