Question

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.

Answer 1

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.