Q:

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)`

Accepted Solution

A:
Answer:x + 3 - 2/ (x + 2).Step-by-step 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).