# What is the length and width of a rectangle with an area of 2x^2 + x - 3?

##### 1 Answer

Apr 16, 2016

The length and width can be:

#{ (k(2x+3)), (1/k(x-1)) :}# for any#k > 0#

#### Explanation:

I think this is a really bad question, since there are normally infinitely many solutions for a given value of

#2x^2+x-3 = (x-1)(2x+3)#

So the length could be

What we can say is that this will only be a (non-degenerate) rectangle if