Question

THE perimeter of a parallelogram given ABCD=40,AB=3x,BC=2x,CD=2(y+1)cm.find the value of x and y

Answer 1

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