The perimeter of the tennis court is 228 feet. what are the dimensions of the court?

From a reliable source, the ratio between the width and the length of the tennis court is equal to 5:12. We let x be the common factor of the given ratio such that the width is equal to 5x and the length is equal to 12x.

The perimeter of the figure is calculated through the equation,

P = 2L + 2W

where P is the perimeter, L is the length, and W is the width.

Substituting the derived expressions to the equation above.

228 = (2) (12x) + 2 (5x)

x = 114/17

The width and length are calculated below.

Width = (5) (114/17) = 570/17 ft = 33.53 ft

Length = (12) (114/17) = 1368/17 ft = 80.47 ft

Thus, the dimensions are approximately 33.53 ft and 80.47 ft.