SOLUTION: the base of a parallelogram is 9ft more than the height. if the area of the parallelogram is 52ftsquared what is the base and the height.

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: the base of a parallelogram is 9ft more than the height. if the area of the parallelogram is 52ftsquared what is the base and the height.       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 796212: the base of a parallelogram is 9ft more than the height. if the area of the parallelogram is 52ftsquared what is the base and the height.

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The area of a parallelogram, just like a rectangle, is base length times height length.

A for area
b for base length
h for height
b=h%2B9, from description

A=b%2Ah
The question is, what is the height. (You already were given the base value).
h=A%2Fb
h=A%2F%28h%2B9%29, using the description of base from the problem.
Use the given values.
h=52%2F%28h%2B9%29
h%28h%2B9%29=52
h%5E2%2B9h=52
highlight%28h%5E2%2B9-52=0%29 AND THE LEFT SIDE IS FACTORABLE.

%28h-4%29%28h%2B9%29=0
We must accept the positive solution, so highlight%28h=4%29.