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A parallelogram has an area of x2 + 9x - 36.
a. What are expressions for the length and width of the parallelogram?
b. If x is an integer, what is the least possible value of x for a parallelogram
to exist? Explain.

Sagot :

altavistard

Answer:

Step-by-step explanation:

Please use " ^ " to indicate exponentiation:

A = x^2 + 9x - 36.  This factors into A = (x + 12)(x - 3).  We can assume that the length of the parallelogram is x + 12 and that the width is x - 3.

Note that if x = 3 the area becomes zero.  So:  x must be greater than 3, so that the (x - 3) factor is positive.

Example:  If x = 4, then the dimensions of the parallelogram are 4 + 12, or 16, and 4 - 3, or 1.  

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