Question

the length of a small rectangular room is 4 units more than the width, the area of the room is 32 square units. what is the dimensions of the room?

Answer 1

Let, the length be x. So, the width is 4x.
Now, area=length*width
So, 32=4x*x
32=4x^2
x^2=8
x=2*rootover2
length=2*rootover2
width=8*rootover2

Answer 2

Let the width=x and the length=x+4
Area=Length X Width
The easy way to determine the two numbers you want is by making a list of the factors of 32. Here is mine.
1 X 32
2 X 16
4 X 8
Now when you look at those three equations, you can see which one matches your equation.
In this case it is 4 X 8, since 8 is 4 more than 4.
Your answer would be:
Length=8 and Width=4