Question

The perimeter of a rectangular sports court is 142 feet. After the game, a player's coach estimates that the athlete has run a total of 498 feet, which is equivalent to six times the court's length plus nine times its width. What are the dimensions of the sports court?

Answer 1

Answer:

Width = 24 feet

Length = 47 feet

Step-by-step explanation:

Given:

Perimeter of rectangular sports court = 142 feet

Assume;

Length = l

Width = b

So,

6l + 9b = 498 feet.......Eq1

Perimeter of rectangular sports court = 142 feet

2l + 2b = 142

l + b = 71

l = 71 - b

From Eq 1

6l + 9b = 498

6[71 - b] + 9b =498

426 - 6b + 9b = 498

b = 24

Width = 24 feet

l + b = 71

l + 24 = 71

l = 47

Length = 47 feet