What are the dimensions of the playing field?

Question

A new outdoor re-creation center is being built and Erie. The perimeter of the rectangle or playing field is 262 yards. The length of the field is 4 yards less than double the width. What are the dimensions of the playing field?

Answer 1

Hi Grace,

 

Suppose width of a rectangular field = w yards

        so length of a field = 2w-4

 

Perimeter of rectangular field= 2( l+w)

 

262 = 2(2w-4+w)

262 = 2(3w-4)

 

 divide by 2 both sides, we get

 

131 = 3w-4

135 = 3w

135/3= w

45 =w

Length= 2w-4 =90-4 = 86

 

Length = 86 yards, width = 45 yards