Question

A rectangle has a length six less than three times the width.If the perimeter is 28 units find the width and length

Answer 1

Explanation:

Length:

l = 3w - 6

Perimeter:

P = 2l + 2w = 2(3w - 6) + 2w = 8w - 12 = 28 --> w = 5

l = 3*5 - 6 = 9

Answer 2

Width = 5 and Length = 9 units.

Explanation:

Let the width be W, then the length L = 3W - 6.

Perimeter = 2W + 2L = 2W + 2(3W - 6) = 28.

2W + 6W - 12 = 28

8W = 40

W = 5 units.

Therefore L = 3(5) - 6 = 9 units.