Question

A new neighborhood activity complex is being built in madison. the perimeter of the rectangular playing field is 268 yards. the length of the field is 7 yards less than the double the width. what are the dimensions of the playing field?
the width is__yards
the length is__yards

Answer 1

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