Answer:
The area of ΔPQR = 90 cm²
Step-by-step explanation:
Points to remember
If two triangles are similar, then ratio of their areas is equal to square of ratio of their corresponding sides.
It is given that,
ΔABC ~ ΔPQR
<B = < Q
<C = <R
ar(ΔPQRC) = 40 cm²
To find the area of ΔPQR
We have ,
ar(ΔABC)/ar(ΔPQR) = AB/PQ
40/ar(ΔPQR)= (4/6)² = 16/36
ar(ΔPQR) = (36 * 40)/16 = 90 cm²
Therefore area of ΔPQR = 90 cm²
