Question

The length of a rectangle is 4 units more than triple its width. If the perimeter is 64,
what is the length of the rectangle?

Answer 1

Answer: Length = 25, width = 7

Step-by-step explanation:

Let width be w, and length be 3w + 4.

Perimeter of a rectangle = 2l + 2w

                                 64  = 2(3w + 4) + 2w

                                 64  = 6w + 8 + 2w

                                 64  = 8w + 8    [subtract 8 from both side]

                                 56  = 8w          [Divide 8 from both side]

                                  w   = 7

Plug w in l, where l = 3w + 4 = 21 + 4 = 25