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

Answer:

 $l=238\ yards$

Step-by-step 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

 $l=9(28)-14$

 $l=238\ yards$