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Let ABCD be a parallelogram of area 124 ...

Let ABCD be a parallelogram of area `124 cm^2` If E and F are the mid-points of the sides AB and CD respectively then find the area of the parallelogram AEFD

Text Solution

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area of parallelogram ABCD= `124 cm^2`
`AB=CD`(Opposite sides of parallelogram equal)
E & F are midpoints of AB & CD
`AE= DF` ( because ||gm sides equal)
`AB= 2AE`
`2DF= CD`
Area of ||gram AEFD=`1/2` ( area of ||gram ABCD)
`AEFD= 1/2 xx 124 = 62 cm^2`
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