# The perimeters of the square and triangle are equal. The sides of the triangle are 7 cm, 9 cm and 3 cm.

September 30, 2021 | education

| **The perimeters of the square and triangle are equal. The sides of the triangle are 7 cm, 9 cm and 3 cm. What is the area of the square?**

Determine the perimeter of the triangle.

Ptr = 7 + 9 + 3 = 19 cm.

By condition, the perimeter of the square is equal to the perimeter of the triangle.

Ркв = Ртр = 19 cm.

Knowing the perimeter of the square, we determine the length of its side.

a = 19/4 = 4.75 cm.

Knowing the length of the side of the square, we determine its area.

Skv = a ^ 2 = 4.75 ^ 2 = 22.5625 cm ^ 2.

Answer: The area of the square is 22.5625 cm ^ 2.

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