# The perimeter of a rectangle with equal sides is 24 dm. What is his side equal to? Find the area of this rectangle.

August 28, 2021 | education

| In this problem, the rectangle is a square, since its four sides are equal. To solve this problem, remember that the perimeter of the square is equal to the sum of the lengths of all

its four sides. Since all sides of a square are equal, then its perimeter P = 4a,

where a is its side. The area of a square is equal to the square of its side. S = a ^ 2. Let’s calculate what the side of the square is, knowing that the perimeter is 24 decimeters.

a = 24/4 = 6 dm.

Let’s calculate what the area of the square is, knowing that the side is 6 decimeters.

S = 6 * 6 = 36 sq. Dm.

Answer: 36 sq. Dm.

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