The length of a rectangular lot is 6 feet less than 3 times its width. Its area is 222 square feet. Its width is feet and its length is feet.

Question

asked Oct 17, 2022 14.7k views

1 Answer

Wirus · Answer 1 · 2022-10-23T11:30:41+0000

Answer:

Its width is 9.66 feet and length is 22.98 feet.

Explanation:

Let l is length and b is width of a rectangular lot.

Length, l = (3b-6) feet

The area of the lot is 222 sq feet.

The area of a rectangle is given by :

$A=lb\\\\222=(3b-6)b\\\\222=3b^2-6b$

It is a quadratic equation. The solution of the above equation is given by :

b = 9.66 feet and -7.66 feet

Neglecting negative answer, the width of the lot is 9.66 feet.

Length, l = (3(9.66)-6) = 22.98 feet

Hence, its width is 9.66 feet and length is 22.98 feet.