With this question. the length of a rectangle is 5 m more than the width. the area is 176 m^2. find the length of the rectangle. show all the works.

In order to solve this, I will set the width equal to W and the length equal to W + 5.  We can do this because we know that the length is 5 m more than the width.  Because the formula for the area of a rectangle is length * width = area, we can set up this equation.

W * (W + 5) = 176

Now, we solve for W.  We start by distributing the W.



Next, we subtract 176 from both sides.



Now, we factor this equation.  When factored, our equation becomes:



The answers to this equation are:

W = 11, -16

The length can not be -16 meters, so it has to be positive 16 meters.  So, the length of this rectangle is 16 meters. 

Where’s the