# A triangle and a square have the same perimeters of the side of the triangle 5 cm 6 cm and 9 cm

August 18, 2021 | education

| **A triangle and a square have the same perimeters of the side of the triangle 5 cm 6 cm and 9 cm What is the area of the square.**

First, we find the perimeter of the triangle. Let’s add all its sides.

P = 5 cm + 6 cm + 9 cm = 20 cm.

The perimeter of the square is equal to the perimeter of the triangle; therefore, it is equal to 20 cm.

The perimeter of a square is equal to the side of the square multiplied by 4. So to find the side of the square, you need to divide the perimeter by 4.

a = 20 cm ÷ 4 = 5 cm.

Find the area of the square. Let’s raise the side of the square to the second power.

S = (5 cm) ² = 25 cm².

Answer: the area of the square is 25 cm².

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