Question

Figure ABCD is a parallelogram.

A. 44
B. 14
C. 38
D. 49

Answer 1

44 units

Explanation:

We know that in a parallelogram opposite sides are equal.

Therefore AB=CD and AD=BC

Consider AB=CD,

⇒4y-2=2y+6

⇒2y=8

⇒y=4

Now consider AD=BC,

⇒3x-1=2x+2

⇒x=3

now substituting values of x and y in the expressions of sides,

we get AB=CD=14 units and AD=BC=8 units

Therefore perimeter of parallelogram is 2*(AB+BC)=2*(14+8)=44 units