the perimeter of a rectangle is 72 meters. the width of the rectangle is 4 meters less then it’s length. find the length and width of the rectangle.

Respuesta :

The length of the rectangle is 20 m.

The width of the rectangle is 16 m.

How to Find the Perimeter of a Rectangle?

The perimeter of a rectangle can be determined using the following formula:

Perimeter of rectangle = 2(length + width).

Let x represent the length of the rectangle. Therefore, we would have the following given parameters for the rectangle:

Length of the rectangle = x meters

Width of the rectangle = (x - 4) meters

Perimeter of the rectangle = 72 meters

We would have the following equation:

2(x + (x - 4)) = 72

Open the bracket and solve for x

2(x + x - 4) = 72

2(2x - 4) = 72

4x - 8 = 72

4x = 72 + 8

4x = 80

4x/4 = 80/4

x = 20

Length of the rectangle = x = 20 m

Width of the rectangle = (x - 4) = 20 - 4 = 16 m

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