SOLUTION: a parallelogram has an area of 52 square centimeters. Find the height h of the parallelogram if the base is 5 more than twice the height.

Algebra ->  Parallelograms -> SOLUTION: a parallelogram has an area of 52 square centimeters. Find the height h of the parallelogram if the base is 5 more than twice the height.      Log On


   

Question 354459: a parallelogram has an area of 52 square centimeters. Find the height h of the parallelogram if the base is 5 more than twice the height.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
If h is height, then from the given, base b+=+2h%2B5.
Area is then h%282h%2B5%29+=+52.
2h%5E2%2B5h-52+=+0.
%282h%2B13%29%28h-4%29+=+0,
which gives h+=+-13%2F2, or h+=+4. The first solution is unacceptable, so height h+=+4 cm.