Answer:
the width is 47 yards
the length is 87 yards
Step-by-step explanation:
Given
the perimeter of the rectangular playing field is 268
perimeter of rectangle is given by 2* ( length + width)
hence for given rectangular playing field
268 = 2* ( length + width) __________________equation A
Let the width of field be W
length is seven less than double the width
Width is W then double the width will be 2*W
then 7 yards less than the double the width will be 2*W - 7
Therefore length of field in terms of W is 2*W - 7
Now substituting value of length with 2*W - 7 and
width with W in equation A, we have given below expression
268 = 2* ( 2*W - 7 + W)
=> 268/2 = 3W - 7
=> 134 = 3W - 7
=> 3W = 134 + 7 = 141
=> W = 141/3 = 47
Therefore width of rectangular playing field is 47 yards
Length of rectangular playing field = 2W - 7 = 2*47 - 7 = 94 - 7
Length of rectangular playing field = 87
Therefore Length of rectangular playing field is 87 yards
