Question 719359
Let's say x is the length
then x-1 is the width
We know that Area=Length(width)
So, we substitute...
30=x(x-1)
Use the Distributive property
30=x^2-x
Subtract 30 from each side
0=x^2-x-30
Now we have to factor the Trinomial
0=(x-6)(x+5)
So that means either x-6=0 or x+5=0
Distribute and x=6 or x=-5
Since the length of a rug cannot be negative, x=6
So, the length is 6 and the width is 6-1 which is 5.
Make sure you have the proper units (feet)