Question

The area of triangle and square are equal. Base, height of
triangle are 8 cm and 4 cm respectively. Find the perimeter
of square​

Answer 1

Given that,

• Base of the triangle = 8 cm

• Height of the triangle = 4 cm

• Area of the triangle = Area of the square.

Let's find the Area of the triangle,

⇒ Area of the triangle = 1/2×b×h

⇒ Area of the triangle = 1/2×8cm×4cm

⇒ Area of the Triangle = 16 cm²

⇒ Area of triangle = Area of square = 16 cm²

⇒ Area of triangle = (Side)² = 16 cm²

⇒ Side = √16 cm²

⇒ side = 4 cm

Therefore, the side of the square is 4 cm.

⇒ Perimeter of the square = 4×(side) = 4×(4 cm) = 16 cm.

Therefore, the perimeter of the square is 16 cm.

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