SOLUTION: in the given figure, ABCD is a parallelogram with perimeter 4o cm,AD=2x, CD=2y+2, AB=3x. Find the value of x and y.

Question 558828: in the given figure, ABCD is a parallelogram with perimeter 4o cm,AD=2x, CD=2y+2, AB=3x. Find the value of x and y.

Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
First of all, AD=BC, so BC also is 2x.

Secondly, AB=CD, so 3x=2y+2. If you solve for 2y, 2y=3x-2

Thirdly, Perimeter = Sum of four sides
2x+3x+2x+2y+2 = 40

Simplify:
7x+2y+2=40

Substitute 2y=3x+2:
7x + 3x-2+2=40
10x=40
x=4

2y=3x-2
2y=3*4-2
2y=10
y=5

Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus

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