Question

The area of a rectangle is given by the expression x2 + 5x + 4. If the length of one side is given by x + 2, what is the length of the other side? A. `x + 3` B. `(2)/(x + 2)` C. `x + 3 ? (2)/(x + 2)` D. `x + 3 + (2)/(x + 2)`

Answer 1

x + 3 - 2/ (x + 2).

Explanation:

The length of the other side = area / length of the known side

= (x^2 + 5x + 4) / (x + 2)

Do the long division:

x + 2 ( x^2 + 5x + 4 ( x + 3 < - quotient

x^2 + 2x

------------

3x + 4

3x + 6

----------

- 2 <--- remainder.

The answer is x + 3 - 2/ (x + 2).