SOLUTION: Find the area of a parallelogram if its area is represented by x^2-4, the length of a side by x+4, and the length of the altitude on that side by x-3... thanx

Algebra ->  Parallelograms -> SOLUTION: Find the area of a parallelogram if its area is represented by x^2-4, the length of a side by x+4, and the length of the altitude on that side by x-3... thanx      Log On


   



Question 884831: Find the area of a parallelogram if its area is represented by x^2-4, the length of a side by x+4, and the length of the altitude on that side by x-3... thanx
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
the area(A) of a parallelogram = base times altitude
x^2 -4 = (x+4)*(x-3)
x^2 -4 = x^2 +x -12
subtract x^2 from both sides of =
-4 = x -12
add -12 to both sides of =
x = 8
check the answer
8^2 -4 = (8+4)*(8-3)
64 -4 = 12 * 5
60 = 60
our answer checks
A = 60