# The perimeter of the rectangle is 14.08 meters. Its width is 3.4 times less than its length. Find the area of a rectangle?

June 28, 2021 | education

| It is known from the condition that the perimeter of the rectangle is 14.08 meters. It is also known that the width of the rectangle is 3.4 times less than the length. In order to find the area of a rectangle, we first need to find the length and width of the rectangle.

We denote the width of the rectangle using the variable x meters, then the length can be written as 3.4x.

Let’s remember the formula for finding the perimeter and solve the equation:

P = 2 (a + b);

2 (x + 3.4x) = 14.08;

4.4x = 7.04;

x = 7.04: 4.4;

x = 1.6 m width of the rectangle, and 1.6 * 3.4 = 5.44 m length.

S = a * b = 1.6 * 5.44 = 8.704 m2.