the perimeter of a rectangle is 48m.

Question

the length is 3 m less than twice the width. find the length and the width.

Answer 1

Let w = the width

Let 2w - 3 = the length

P = 2l + 2w

48 = 2(2w-3) + 2w

48 = 4w - 6 + 2w

48 = 6w - 6           Add 6 to both sides of the equation.

54 = 6w                 Divide both sides by 6.

  9 cm = w

l = 2w - 3

l = 2(9) - 3

l = 15 cm