Question

The width of a rectangle is 1 unit less than the length. The area is 20 units. What is the width, in units, of the rectangle?

Answer 1

Answer:

4 units

Step-by-step explanation:

Let the width be w and length be l

w=l-1 --------(1)

Area=w*l

lw=20 --------(2)

Putting eq 1 in 2

l(l-1)=20

l²-l-20=0

l²-5l+4l-20=0

l(l-5)+4(l-5)=0

(l+4)(l-5)=0

Either

l+4=0 OR l-5=0

l=-4. OR. l=5

(Contrary to be given to l=-4as it is negative hence l=length =5)

Now putting l in (1)

w=5-1

w=4 units