A rectangle is drawn so that the width is I feet shorter than the length. The area of the rectangle is 12 square feet. Find the length of the rectangle,

Question

asked Oct 25, 2022 60.2k views

1 Answer

Firoz · Answer 1 · 2022-10-30T20:38:27+0000

Answer:

Length = 4 feet

Explanation:

Let the length of a rectangle be x.

Width is 1 feet shorter than the length, b = x-1

The area of the rectangle is 12 sq feet.

The area of a rectangle is given by :

A = length × width

So,

$x(x-1)=12\\\\x^2-x-12=0\\\\x^2-4x+3x-12=0\\\\x(x-4)+3(x-4)=0\\\\(x+3)(x-4)=0\\\\x=-3\ and \ x=4$

Neglecting the negative side, the length of the rectangle is equal to 4 feet.