Venus and Serena measured a tennis court and found that it was 42ft longer than it was wide and had a perimeter of 228ft. What were the length and the width of the tennis court?

length = 78 feet

width = 36 feet

Step-by-step explanation:

Using one variable and an expression, you can set up an equation equal to the perimeter to find the measure of each side:

width = 'w'

length = '42ft longer than it was wide' = w + 42

The general formula for the perimeter of a rectangle:

P = 2w + 2l

Plugging in the given values and variables:

228 = 2w + 2 (w + 42)

Distribute: 228 = 2w + 2w + 84

Combine like terms: 144 = 4w

Divide and solve: 36 = w

w = 36 ft

l = 36 + 42 = 78 ft