Question

Parallelogram A B C D is shown. The length of A B is 4 y minus 2, the length of B C is 2 x + 2, the length of D C is 2 y + 6, and the length of A D is 3 x minus 1.

What is the perimeter of ABCD?

14 units
38 units
44 units
49 units

Answer 1

The answer to this is A.

Answer 2

Explanation:

Correct option is

A

x= 4 and y = 5

Let the parallelogram be ABCD Perimeter= 40cm

AB =3x cm BC=2x cm(given)

Perimeter of parallelogram 2(3x+2x)=40

solving equation we get x=4

Also,AB=CD(opposite sides of parallelogram) 3x=2(y+1) (given)

Putting x=4

3(4)=2y+2

12=2y+2

10=2y

Hence y=5 and x=4