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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

area = length x width

length = 2 x width

32 = 2 x width x width

32 = 2 x width^2

36 = width ^2  

width = 6

length = 12

area is 32

perimeter = 2 x 12 + 2 x 6 = 24 + 12 = 36

step-by-step explanation: