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?

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 and the width be .

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

Area = length × width

On solving equation we get:

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

So, the width of rectangle:

Width =

          =

          =

Therefore, the width of rectangle is 1 unit.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is