Question

The width of a rectangle is 5 units less than the length. The area of the rectangle is 6 units. What is the width, in units, of the rectangle?

Answer 1

The width of rectangle is 1 unit.

Explanation:

Given:

The area of rectangle is 6 units and its width is 5 units less than the length.

So, to find the width of rectangle.

Let the length be
`x` and the width be
`x-5`.

Now, to find the width we put the formula of area of rectangle:

Area = length × width

`6= x* (x-5)`

`6=x^(2)-5x`

`0=x^(2)-5x-6`

`0=x^(2)-6x+x-6`

`0=x(x-6)+1(x-6)`

`0=(x-6)(x+1)`

On solving equation we get:

`x-6=0, x+1=0`

Therefore, we take the value x=6 as it is positive value:

`x-6=0`

`x=6`

So, the width of rectangle:

Width =
`x-5`

=
`6-5`

=
`1`

Therefore, the width of rectangle is 1 unit.