Question

The perimeter of a rectangular field is 344 yards.  If the width of the field is 74 yards, what is its length

Answer 1

P = 2L + 2w

344 = 2L + 2·74

344 - 148 = 2L

2L = 196

L = 196 : 2

L = 98 yards

Answer 2

The perimeter of a rectangle is the length of two widths plus two lengths. You have the width as 74 yard so your formula is 2(74) + 2L = 344. 2x74=148 so 148 + 2L=344. Subtract 148 from both sides and get 196. 2L=196. Divide both sides by 2 and you get L= 98