# math

posted by .

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 -

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 -

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!

## Similar Questions

1. ### geometry theorems

I have six questions which will be on a test two weeks from now, and I do not understand. Help me find out these theorems for the blanks. 1. If one pair of consecutive sides of a parallelogram are congruent, then the parallelogram …
2. ### Math

The formula A=bh is used to find the area of a parallelogram. If the base of a parallelogram is double and its height is doubled, how does this affect the area.
3. ### math

parallelogram A is similar to Parallelogram B. If the area of parallelogram b is 162 square units, what is the area of parallelogram A?
4. ### Math

the distance between the center of symmetry of a parallelogram and its longer side is equal to 12 cm. The area of the parallelogram is 720 cm^2, and its perimeter is 140 cm. Determine the length of the longer diagonal of the parallelogram
5. ### SBVC

The formula for the area of a parallelogram is A = bh. The area of the parallelogram in the illustration is 300 square centimeters. If its base is three times its height, how long is the base?
6. ### math

Please help! The area of a parallelogram is ( x^2 + x - 12) and the length of its base is ( x +4). what is the height of the parallelogram?
7. ### Math

A square and a parallelogram have the same area. If a side of the square is 40m and the height of the parallelogram is 20m, find the length of the corresponding base of the parallelogram.
8. ### math 2 questions this time

Find the area of the parallelogram. A height of 8 and a base of 24 then there is a another number I think its length but its 8 and im confused because its B*H for parallelogram sooo yea can someone help me and show me how. thanks. …
9. ### Geometry

If the length of the base of a parallelogram is decreased by 30％and the height is increased by 20％ what Is the percent decrease in the area of the parallelogram
10. ### math

a square has side length of 6 inches. a parallelogram has a base of 6 inches. the area of the square is equal to the area of the parallelogram what is the height of the parallelogram?

More Similar Questions