The perimeter of the rectangle is 14.08 meters. When the width is 3.4 meters, the length is less

The perimeter of the rectangle is 14.08 meters. When the width is 3.4 meters, the length is less. Find the area of the rectangle?

By determining the area of a rectangle:

S = a * b, where a is the width, b is the length.

To find the area, you need to find the width and length.

Let the width be x m, then the length is 3.4x m.Knowing the perimeter, we can draw up an equation and solve it:

P = 2 * (a + b);

14.08 = 2 * (x + 3.4x);

14.08 = 2x + 6.8x;

14.08 = 8.8x;

x = 14.08 / 8.8;

x = 1.6.

If x = 1.6, then the width is 1.6 m, the length is 5.44 m, and the area is S = 1.6 * 5.44 = 8.704 (m ^ 2).

Answer: S = 8.704 m ^ 2.

Verification:

14.08 = 2 * (1.6 + 5.44);

14.08 = 14.08.