Find the area of a rectangle if it is made up of five identical squares, the sum of the perimeters of which is 125cm.

Let the length of the rectangle be a, width b. The area of the rectangle is equal to the product of the length by the width, a * c. The rectangle consists of five identical squares, which means that the length of the rectangle is equal to the sum of the five sides of the square. The width of the rectangle is equal to one side of the square.

Solution.

1. Perimeter of one square.

125/5 = 25

2. All sides of a square are equal. So one side is equal

25/4 = 6.25

3.a = 6.25 * 5 = 31.25

h = 6.25

4. The area is

31.25 * 6.25 = 195.3125

Answer: 195.3125 cm.