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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)`

Respuesta :

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).

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