The length of a rectangle is 2 meters longer than its width. If the perimeter of the rectangle is 40 meters, find its area.

Respuesta :

Answer:

The perimeter of a rectangle is the sum of twice the length and twice the width. The area of a rectangle is length times width.

Let width = x

Let length = x + 2

Perimeter = 44 meters

Area = ?

We can set an equation for perimeter.

2x + 2(x + 2) = 44

Solve the equation for x.

2x + 2x + 4 = 44

4x + 4 = 44

4x = 40

x = 10

Substitute this value of x into the variables.

width = 10 meters

length = 12 meters

Finally, multiply these two numbers to get your area. Keep in mind that the units for area is square meters.