Problema Solution

the length of a football field is 67 yards greater than the width. the perimeter of the field is 340 yards what is the length and the width of the football field

Answer provided by our tutors

let


l = the length of the field, l>0

w = the width of the field, w>0


the length of a football field is 67 yards greater than the width


l = 67 + w


the perimeter of the field is 340 yards


2(l + w) = 340 divide both sides by 2


l + w = 170


by solving the system of equations


l = 67 + w

l + w = 170


we find


l = 118.5 yards


w = 51.5 yards


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the length of the football field is 118.5 yards

the width of the football field is 51.5 yards.