3 years ago

Figure ABCD is a parallelogram. A. 44 B. 14 C. 38 D. 49

Mathematics

1 answer:

Yuri [45]3 years ago

5 0

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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