# The perimeter of the rectangle is 56cm. Find the sides if known. That the length of the rectangle

September 24, 2021 | education

| **The perimeter of the rectangle is 56cm. Find the sides if known. That the length of the rectangle is 14.2cm longer than the width.**

It is known from the condition that the perimeter of the rectangle is 56 cm. It is also known that the length of the rectangle is 14.2 cm longer than the width. In order to find the sides of the rectangle, we compose and solve a linear equation.

Let us denote by the variable x cm the width of the rectangle, then the length can be written as (x + 14.2) cm.

Let’s remember and apply the formula for finding the perimeter.

P = 2 (a + b);

2 (x + x + 14.2) = 56;

2x + 14.2 = 28;

2x = 28 – 14.2;

2x = 13.8;

x = 13.8: 2;

x = 6.9 cm width of the rectangle and 6.9 + 14.2 = 21.1 cm length.