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

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. One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.