Posted by **Jane** on Wednesday, March 27, 2013 at 2:38pm.

A parallelogram has an area of 8x^2 - 2x -45. The height of the parallelogram is 4x + 9. I know the formula for a parallelogram is A=bh. Please work and explain how I get the length of the base of the parallelogram. Thanks

- math -
**Steve**, Wednesday, March 27, 2013 at 3:02pm
since a = bh and they give you a polynomial for a and h, you have to expect that b = a/h and (4x+9) divides (8x^2 - 2x -45)

In fact, 8x^2 - 2x -45 = (4x+9)(2x-5)

so, b = 2x-5

If they had given you numbers, you'd have had no trouble doing the division. Don't be confused by their efforts to cloak the underlying simplicity of the question.

- math -
**Wayne**, Wednesday, March 27, 2013 at 3:40pm
Factor(unfoil) the area to get:

(2x-5)* (4x+9). When you divide that by the height, the result is the length of the base: (2x-5)

Not sure if you're solving for x, but I don't think that there's enough information. Let me know if this helps you!

## Answer This Question

## Related Questions

- math - parallelogram A is similar to Parallelogram B. If the area of ...
- Math - A square and a parallelogram have the same area. If a side of the square ...
- Math - The formula A=bh is used to find the area of a parallelogram. If the base...
- math - Please help! The area of a parallelogram is ( x^2 + x - 12) and the ...
- geometry theorems - I have six questions which will be on a test two weeks from ...
- SBVC - The formula for the area of a parallelogram is A = bh. The area of the ...
- Math - the distance between the center of symmetry of a parallelogram and its ...
- Math - The adjacent sides of parallelogram are 26cm and 28cm and one of its ...
- Math - The adjacent sides of parallelogram are 26cm and 28cm and one of its ...
- algebra - A parallelogram is 22 inches long and 14 inches wide. How do you find ...

More Related Questions