Question

️ ABC~️PQR A, (️ABC) = 81 cm square . If AB = 6cm , PQ=12cm , then fine A(️PQR).​

Answer 1

Answer:

Hope this will be helpful to you.

Answer 2

Given:

️ABC~️PQR

Ar(️ABC) = 81 cm square

AB = 6cm, PQ=12cm

To find:

Ar(️PQR)

Solution:

The required area is 324 $cm^{2}$.

We can obtain the area by using the following formula-

We know that the ratio of the triangle's areas is the same as the ratio of the squares of corresponding sides.

So, in the triangles,

Ar(️ABC): Ar(️PQR)=$AB^{2} :PQ^{2}$

Using the given values, we get

81/Ar(️PQR)=6×6/12×12

81/Ar(️PQR)=1/2×2

81×4=Ar(️PQR)

324=Ar(️PQR)

So, Ar(️PQR)=324 $cm^{2}$.

Therefore, the required area is 324 $cm^{2}$.