Question

The perimeter of a square ABCD is twice the perimeter of Triangle PQR. Find the area of the square ABCD.​

Answer 1

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Answer 2

The area of square ABCD=$81 cm^2$

Step-by-step explanation:

Let a=7 cm,b=6 cm,c=5cm

Perimeter of triangle=Sum of all sides

Perimeter of triangle PQR=7+6+5=18 cm

According to question

Perimeter of square ABCD=$2\times 18=36 cm$

We know that

Perimeter of square=$4\times side$

$36=4\times side$

Side=$\frac{36}{4}=9$ cm

Side of square ABCD=9cm

Area of square=$side\times side$

Using the formula

Then, we get

Area of square ABCD=$9\times 9=81 cm^2$

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