The perimeter of a rectangle is 114cm, and the length of one side is 32cm. Find the length of the second side of this rectangle.

A rectangle has opposite sides equal and parallel.

Recall that the perimeter of a figure is the sum of the lengths of all its sides.

Let’s write the formula for determining the perimeter of a rectangle:

P = 2a + 2b;

Knowing the length of one of the sides and the perimeter, we find the value of the second side of the rectangle:

2a + 2b = P;

2a = P – 2b;

2a = 114 cm – 2 * 32 = 50 cm;

a = 50/2 = 25 cm.

Let’s check:

P = 2a + 2b = 2 * 25 + 2 * 32 = 114 cm.

Answer: The length of the second side of the rectangle is 25 centimeters.