Question

The length of a rectangle is 5 inches more that the width. The perimeter is 46 inches. Find the length and the width.

Answer 1

1. Use variables to represent length and width.

width = w

length = w + 5

2. Set up an equation for the perimeter of the rectangle.

perimeter = 2L + 2W

2(w + 5) + 2(w) = 46

2w + 10 + 2w = 46

4w + 10 = 46

4w = 36

w = 9

3. Find the length and width of the rectangle.

width = w = 9 inches

length = w + 5 = 14 inches

Answer 2

Width is 9 inches

Length is 14 inches

Explanation:

width = w

length = w + 5

perimeter = 2L + 2W

2(w + 5) + 2(w) = 46

2w + 10 + 2w = 46

4w + 10 = 46

4w = 36

w = 9

Width = w = 9 inches

Length = w + 5 = 14 inches

Therefore the width is equal to 9 inches and the length is 14 inches.