The length of a football field is 8 yards more than twice the width. If the perimeter of the football field is 166 yards, find the width and length of the football field. *

Answer 1

Sketch the rectangle very quickly,

2W + 8 (length)

------------------------|

| W (width)

|

Length (L) = 2 times the width + 8 more = 2(W)+8

Width = W

Perimeter = 2(W) + 2(L) now substitute in the Length in terms of Width above

166 = 2(W) + 2(2W+8) use distributive property

166 = 2W + 4W +16

150 = 6W

25 = W The width of the field is 25 yards

2(25) + 8 = Length The length of the field is 58 yards