# One side of the rectangle is 8 cm larger than the other. Find the sides of the rectangle if its perimeter is 28 cm.

July 30, 2021 | education

| Let one side of the rectangle be equal to x cm, then the second side is equal to (x + 8) cm. The perimeter of the rectangle is known, it is equal to 28 cm.

The perimeter of a rectangle is calculated as the sum of the length and width times two. P = 2 * (a + b). Let’s make the equation:

2 * (x + x + 8) = 28,

(x + x + 8) = 14,

2x + 8 = 14,

2x = 14-8,

2x = 6,

x = 3.

One side of the rectangle is 3 centimeters long. Let’s calculate the value of the second side of the rectangle:

1) 3 cm + 8 cm = 11 cm length of the second side.

Answer: the lengths of the sides of the rectangle are 3 centimeters and 11 centimeters.

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