A rectangular playground has a perimeter of 2400 ft. If

the length is 3 times the width, find the dimensions of the

playground

Let x be the length, y be the width and p be the perimeter.

p = 2x + 2y

Since the length is 3 times the width

x = 3y

So,

2400 = 2 (3y) + 2y

2400 = 6y + 2y

2400 = 8y

y = 300

Now plug y back in,

x = 3 (300)

x = 900

The length is 900 ft and the width is 300 ft