Mathematics
The perimeter of a square ABCD is twice the perimeter of △PQR. Find the area of the square ABCD.
Mensuration
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Answer
Given:
Triangle PQR has sides PQ = 6 cm, QR = 7 cm and PR = 5 cm.
Perimeter of △PQR = Sum of all sides
= 6 + 7 + 5 cm
= 18 cm
Perimeter of square ABCD = 2 × Perimeter of △PQR
= 2 × 18 cm
= 36 cm
Perimeter of square = 4 × side
⇒ 36 = 4 × side
⇒ side =
⇒ side = 9 cm
Area of square ABCD = side × side
= 9 × 9
= 81 sq. cm
Hence, the area of the square ABCD is 81 sq. cm.
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