# A triangle and a square have the same perimeters. The sides of the triangle are 7cm

September 28, 2021 | education

| **A triangle and a square have the same perimeters. The sides of the triangle are 7cm, 8cm and 9cm. What is the area of the square?**

Find the perimeter of the triangle. The perimeter of a triangle is equal to the sum of the lengths of its three sides.

P = a + b + c.

P = 7 + 8 + 9 = 24 (cm)

We have the perimeter of the triangle equal to the perimeter of the square. The perimeter of a square is the sum of its four sides, and the sides of the square are all the same. So, to find the length of a side of a square, you need to divide its perimeter into its 4 sides.

a = P: 4;

a = 24: 4 = 6 (cm)

The area of a square is equal to the square of its side.

S = a ^ 2;

S = 6 ^ 2 = 36 (cm ^ 2).

Answer. 36 cm ^ 2.

One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.