SOLUTION: The measure of one angle of a parallelogram is 2:3. Find the length of each side if its perimeter is 80cm.

Algebra ->  Parallelograms -> SOLUTION: The measure of one angle of a parallelogram is 2:3. Find the length of each side if its perimeter is 80cm.      Log On


   

Question 934855: The measure of one angle of a parallelogram is 2:3. Find the length of each side if its perimeter is 80cm.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

sides are in same ratio as angles: 2%3A3
a%3Ab=2%3A3=> solve for a
3a=2b
a=2b%2F3
perimeter is P=80cm+
80cm=2a%2B2b ...substitute 2b%2F3 for a
80cm=2%282b%2F3%29%2B2b
80cm=4b%2F3%2B6b%2F3
80cm=10b%2F3
240cm=10b
highlight%28b=24cm%29
now find a
a=%282%2A24cm%29%2F3
a=48cm%2F3
highlight%28a=16cm%29