A rectangular carport has area of 150 squarefeet. The width of the carport is five feet less than twice its length. Find the length and the width of the carport.

The length of the carpet is 10 feet and the width of the carpet is 15 feet

Explanation:

Given:

Area of the carpet, A = 150 ft²

Let x be the length of the carpet

Let y be the width of the carpet

According to the question:

width, y = 2x - 5 - 1

We know:

Area of rectangle = length X width

On substituting the value we get:

150 = (x) (2x - 5)

150 = 2x² - 5x

2x² - 5x - 150 = 0

Solving the quadratic equation we get

x = 10 feet

Substituting x = 10 ft in equation 1 we get:

y = 2x - 5

y = 2 (10) - 5

y = 15 feet

Therefore, the length of the carpet is 10 feet and the width of the carpet is 15 feet