# The rectangle has a perimeter of 120 cm and is 14 cm longer than wide, so find its width.

August 27, 2021 | education

| It is necessary to calculate the value of the width of the rectangle (we denote it by the letter W) if it is known that the perimeter of the rectangle is P = 120 cm, and the length L> W is 14 cm.

Let’s compose the equations and solve them.

1) P = 2 * (L + W).

2) L = W + 12.

Substitute the value of D from the second equation into the first and simplify.

P = 2 * (W + 12 + W).

P = 4W + 24.

W = (P – 24) / 4.

Substitute the value of P and calculate.

W = (120 – 24) / 4.

W = 96/4.

W = 24.

As a result, we have a rectangle width equal to 24 cm.

Answer: the width of the rectangle is 24 cm.

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