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nata0808 [166]
3 years ago
13

Please help me Show your work 11 points

Mathematics
2 answers:
AlekseyPX3 years ago
7 0

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.

ozzi3 years ago
5 0

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

<u>To find the area of ΔPQR</u>

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

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