SOLUTION: The ratio of two adjacent sides of a parallelogram is 2:3.Its perimeter is 50 cm.What is its area if altitude corresponding to larger side is 10 cm?

Algebra ->  Parallelograms -> SOLUTION: The ratio of two adjacent sides of a parallelogram is 2:3.Its perimeter is 50 cm.What is its area if altitude corresponding to larger side is 10 cm?      Log On


   

Question 1023111: The ratio of two adjacent sides of a parallelogram is 2:3.Its perimeter is 50 cm.What is its area if altitude corresponding to larger side is 10 cm?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
2x and 3x are these two adjascent sides.
2%2A2x%2B2%2A3x=50
4x%2B6x=50
10x=50
x=5

The longest side, if a base for a triangle, is 3%2Ax=3%2A5=15.
This base does not need to be dedicated just to a triangle; but can be just the side perpendicular to the altitude (10 cm) of the parallelogram.

With base 15 cm and height or altitude 10 cm, the area for the parallelogram is 15%2A10=highlight%28150%2Acm%5E2%29.