Question
What is the perimeter of the given parallelogram
- 24 cm
- 32 cm
- 8 cm
- 16 cm
Hint:
In a parallelogram, opposite sides are equal . perimeter of a polygon = sum of all its sides.
The correct answer is: 32 cm
32 cm
In a parallelogram, opposite angles and sides are equal. Therefore, AB= CD and AD = BC
AD = 4 cm
And AB = 12 cm.
The perimeter of the given parallelogram = AB+BC+ CD + DA.
= 12 + 4 + 12 + 4 = 32 cm.
We can also directly find out the perimeter by using the property , insteadof finding the alues of AD and AB.
perimeter = 2 x ( BC + CD)
this is possible due to the fact that opposte sides are equal in a paarallelogram.
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