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: 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