SOLUTION: The area of a parallelogram is 2x^2 + 9x + 4 cm^2 If the length of the base is 2x + 1 cm, find the length of the altitude.

Algebra ->  Parallelograms -> SOLUTION: The area of a parallelogram is 2x^2 + 9x + 4 cm^2 If the length of the base is 2x + 1 cm, find the length of the altitude.       Log On


   



Question 35458This question is from textbook Geometry
: The area of a parallelogram is 2x^2 + 9x + 4 cm^2
If the length of the base is 2x + 1 cm, find the length of the altitude.
This question is from textbook Geometry

Found 2 solutions by Nate, rapaljer:
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
the area of a parallelogram is the base times height
a=lh
here, we want to find h so:
h=a/l
h=(2x^2 + 9x + 4)/(2x + 1)
h=(x + 4)

Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
The formula for the area of a parallelogram is Base times Height (or length of the altitude). That is, A = BH. To find the lenth of the altitude just divide the Area by the length of the base:
+Altitude+=+%28Area%29%2F%28Base%29
Altitude+=+%282x%5E2+%2B+9x+%2B+4%29+%2F+%282x%2B1%29

As "chance" would have it, this expression for Area factors into (2x+1)(x+4), so the fraction reduces to this:
+Altitude+=+%28%282x%2B1%29%2A%28x%2B4%29%29%2F%282x%2B1%29+
+Altitude+=+x%2B4+ cm

R^2 at SCC