Question

The perimeter of a rectangular pen is 136 meters. If the length is 5 meters more than twice the width, what are the dimensions of the pen?

Answer 1

Answer: width = 21, length = 47

Step-by-step explanation:

Length (L) = 2w + 5

width (w) = w

Perimeter (P) = 136

P = 2L + 2w

136 = 2(2w + 5) + 2w    substituted the given values above

136 = 4w + 10 + 2w       distributed 2 on the right side

136 = 6w + 10                added like terms (4w and 2w)

126 = 6w                       subtracted 10 from both sides

 21 = w                          divided both sides by 6

Length (L) = 2w + 5

                 = 2(21) + 5

                 = 42 + 5

                  = 47