Question

A rectangle has a length of 14 yards less than 9 times its width. If the area of the rectangle is 6183 square yards, find the length of the rectangle.

Answer 1

`l=238\ yards`

Explanation:

From the question we are told that:

Area of Rectangle A=6183

Equation of Length

`l=9w-14`

Where

`w=width\ of\ triangle`

Generally the equation for Area of Rectangle is mathematically given by

`A=(9w-14)w`

`A=9w^2-14w`

`6183=9w^2-14w`

`9w^2-14w-6183=0`

`w=28`

Therefore

`l=9(28)-14`

`l=238\ yards`