Question

A rectangle is drawn so that the width is 4 feet shorter than the length. The area of the rectangle is 21 square feet. Find the length of the rectangle.

Answer 1

Answer:

The length of the rectangle is 7 or-3 feet

Step-by-step explanation:

According to the question,

let the length be x feet,

Then,width=x-4 feet

Now,

Area of rectangle=l×b

or,21 =x(x-4)

or,21=x^2-4x

or,x^2-4x-21=0

or,x^2-7x+3x-21=0

or,x(x-7)+3(x-7)=0

or,(x-7)(x+3)=0

Now,

Either,x-7=0

x=7 feet

Or,x+3=0

x=-3 feet

Answer 2

The correct answer is 84