Question

The perimeter of the rectangular playing field is 430 yards.The length of the field is 5 yards less than triple the width. What are the dimensions of the playing​ field?

Answer 1

Answer - 160

Explanation:

2L+2W = 430

L = 3W-5

2(3W-5)+2W = 430

6W-10+2W = 430

8W = 440

W = 55 and L = 3(55)-5 = 160

Answer 2

Length = 160 and width = 55 yards

Explanation:

Perimeter = 2L + 2W where L = the length and W = the width.

L = 3W - 5 (given).

So substituting for L is the formula for the perimeter:-

2(3W - 5) + 2W = 430

6W - 10 + 2W = 430

8W = 440

W = 55 yards.

So the Length L = [430 - 2(55]) / 2 = 160 yards.