The width of a rectangle is 5 meters less than its length. The area is 84 square meters. Find the dimensions of the rectangle

12m x 7m

Step-by-step explanation:

Let us start with the formula fo the area of a rectangle, , where l represents the length of the rectangle and w represents the width of the rectangle.

We are given that the width of a rectangle is 5 meters less than its length. We can set the width as . If the width is , the length must be 5 more than that. We have the length now as .

Now, we can plug in the equation to solve for :

We have two x values. However, we know that length can never be negative. Thus, we know that the width must be 7 meters. The height is 5 more than the width, so we have 12 meters.

The dimensions of the rectangle is 12m x 7m.

I hope this helps! Let me know if you have any questions :)

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