Question

The width of a rectangle is 4 meters less than its​ length, and the perimeter is 51 meters. Find the length and width of the rectangle.

Answer 1

The dimensions of the rectangle are:

Length = 14.75 m

Width = 10.75 m

What is the Perimeter of a Rectangle?

The total length of a rectangle is gotten by adding all it's side lengths together. The formula for the perimeter of a rectangle is given as:

Perimeter = 2(length+ width).

The dimensions for a rectangle is given as:

Perimeter = 51 meters

Length of rectangle = L meters

Width of rectangle = (L - 4) meters.

Therefore:

2(L + (L - 4)) = 51

2(L + L - 4) = 51

2(2L - 4) = 51

4L - 8 = 51

4L = 51 + 8

4L = 59

L = 59/4

L = 14.75

Length of rectangle = 14.75 m

Width of rectangle = (L - 4) = 14.75 - 4 = 10.75 m

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