A rectangular playing field has a perimeter of 60 m. The length of the field is five times as long as the width. Find the length and width of the playing field.

Answer 1

Let's set the width of the playing field as x meters.

Since the length is five times as long as the width, the length is 5x meters.

The perimeter of a rectangle is given by the formula:
Perimeter = 2(length + width)

Substitute the values we have into the formula:
60 = 2(5x + x)

60 = 2(6x)
60 = 12x

Divide by 12 on both sides:
x = 5

So, the width of the playing field is 5 meters.

The length of the playing field is 5 times the width:
Length = 5(5) = 25 meters

Therefore, the length and width of the playing field are 25 meters and 5 meters, respectively.