Question

Please help me Show your work 11 points

Answer 1

Since the ratio of the sides of ABC to PQR is 4:6, the ratio of the areas of ABC to PQR is 16:36.

So 40cm2 * 36/16 = 90cm2.

Answer 2

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