Question

1.3.27

The length of a new rectangular playing field is 8 yards longer than quadruple the width. If the perimeter of the rectangular playing field is 506 yards, what are its dimensions?
The width is

Answer 1

The width of the field is 49 yards and the length is 204 yards.

Explanation:

Let the width be b.

Length = 8+4b

The perimeter of the rectangle = 506 yards

The perimeter of the rectangle is given by :

P=2(l+b)

So,

506=2(8+4b+b)

253 = 8+5b

245 = 5b

b = 49 yards

Length, l = 8+4b

= 8+4(49)

= 204 yards

So, the width of the field is 49 yards and the length is 204 yards.