SOLUTION: How do I do this problem A parallelogram with an area of 6x^2-7x-5 square units has a base of 3x-5. Determine the height of the parallelogram

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Question 708144: How do I do this problem A parallelogram with an area of 6x^2-7x-5 square units has a base of 3x-5. Determine the height of the parallelogram
Answer by josgarithmetic(39631) About Me  (Show Source):
You can put this solution on YOUR website!
You would do this the same way you would do any area calculation for a parallelogram. You have the area, you have the base, and you want the height. A=b%2Ah. You only need to calculate or solve for h. You KNOW the area and the base. You do NOT know the values of the area nor the base, but you want what will essentially be the expression for the height. NOT its value.

A=b%2Ah, from which h=A%2Fb

Use what you have:
h=%286x%5E2-7x-5%29%2F%283x-5%29. Polynomial division! Or you might try factoring, which in this case should work very well. The numerator is equal to %282x%2B1%29%283x-5%29,
so h reduces to 2x+1.

highlight%28h=2x%2B1%29