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

Question

Philoid · Accepted Answer

Given that,

Area of parallelogram ABCD = 124 cm²

Construction: Draw AP perpendicular to DC

Proof: Area of parallelogram AFED = DF * AP (i)

Area of parallelogram EBCF = FC * AP (ii)

And,

DF = FC (iii) (F is the mid-point of DC)

Compare (i), (ii) and (iii), we get

Area of parallelogram AEFD = Area of parallelogram EBCF

Therefore,

Area of parallelogram AEFD =

= = 62 cm²

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.

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.