The length of the rectangle is 4 less than twice the width. The perimeter is 28. Find the length and width.

Length=8 and width=6

Step-by-step explanation:

The length of the rectangle is 4 less than twice the width, let l stand for length and w for width: l=2w-4

The perimeter is equal to 28 and the formula for the perimeter of a rectangle is 2l+2w: 28=2l+2w

Substitute l into the equation:

28=2 (2w-4) + 2w

28=4w-8+2w

28=6w-8

36=6w

w=6

Find for l:

l=2w-4

l=2 (6) - 4

l=12-4

l=8