3. The rectangle has an area of 1 square unit. What is the value of x?

The length of the rectangle is (3)/(x+2)
The width is (2)/(x-3)
I can't seem to figure this out, could some please help me? I'm in urgent need of help as this assignment is due tomorrow...
Thanks for any help!

1 answer

well, since area = width * length,

3/(x+2) * 2/(x-3) = 1
6 = (x+2)(x-3)
x^2 - x - 12 = 0
(x-4)(x+3) = 0
x = 4 or -3
-3 is no good, since we need positive values for the sides, so x=4.

Check:

3/6 * 2/1 = 1