The length of a rectangle is 6 feet more than the width. If the perimeter is 60 feet, then what is the length of the rectangle, in feet?

Answer 1

The formula for the perimeter of a rectangle is P = 2L + 2W where L represents the length and W the width.

The length is 6 more then the width, so L = W + 6. We know P = 60. So, substitute into the formula and solve the equation that is in terms of W.

2(W+6) + 2W = 60

At this point you could divide every term by 2, or simply simplify the left side.

2W + 12 + 2W = 60

4W + 12 = 60

4W = 48

W=12

The question asks for the length of the rectangle:

L = 12 + 6 = 18.feet

2 Widths = 24

2 Lengths = 36

36 + 24 = 60 (feet)