Figure ABCD is a parallelogram.
A. 44
B. 14
C. 38
D. 49
1 answer:
Answer:
44 units
Step-by-step 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)=<u>44 units</u>
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