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

Answer:

The width of rectangle is 1 unit.

Step-by-step 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

$6= x\times (x-5)$

$6=x^{2}-5x$

$0=x^{2}-5x-6$

$0=x^{2}-6x+x-6$

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

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

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.