The area of the rectangle is equal to the area of the square. Find the perimeter of the rectangle

The area of the rectangle is equal to the area of the square. Find the perimeter of the rectangle if its length is 16.2 m and the perimeter of the square is 28.8 m

Find the side of the square, knowing that its perimeter is 28.8 m.

a = 28.8: 4 = 7.2 m.

Find the area of the square S = a2.

S = 7.22 = 51.84 m2.

The areas of a rectangle and a square are equal according to the problem statement. The length of the rectangle is 16.2 m. Let us find its width through the area formula S = a ∙ b.

51.84 = 16.2 ∙ b;

b = 51.84: 16.2;

b = 3.2 m.

Let’s calculate the perimeter of the rectangle Р = 2 ∙ (a + b).

P = 2 ∙ (16.2 + 3.2) = 2 ∙ 19.4 = 38.8 m.

Answer: The perimeter of the rectangle is 38.8 m.