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.

a) Length , Width , b)

Step-by-step explanation:

a) The expressions for the length and width of the parallelogram can be determined by factorizing the polynomial:

Length

Width

b) Since area is a positive variable, the set of solutions encompass all values of x such that area is zero o greater. Then, there are two interval where A is positive:

- When both binomials are negative.

and

- When both binomials are positive.

and

Since x is an integer, x must be positive and therefore the least possible value of x is:

answer: 45