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Question -

Let ABCD be a parallelogram of area 124 cm2. If E and F are the mid-points of sides AB and CD respectively, then find the area of parallelogram AEFD.



Answer -

Given: Here in the question it is given that
(1) Area of paralleogram ABCD = 124 cm2
(2) E is the midpoint of AB, which means  
(3) F is the midpoint of CD, which means  
To Find : Area of Parallelogram AEFD
Calculation: We know that formula for calculating the
Area of Parallelogram = base ├Ч height
Therefore,
Area of paralleogram ABCD = AB ├Ч AD (Taking base as AB and Height as AD ) тАжтАж(1)
Therefore,
Area of paralleogram AEFD = AE ├Ч AD (Taking base as AB and Height as AD ) тАжтАж(2)
 ( )
=  Area of Parallelogram ABCD (from equation1)
 
Hence we got the result Area of Parallelogram AEFD  

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