Abcd is parallelogram if e in any point in its interior such that ar ( triangle aed)=20 cm square and ar ( triangle bec) =10 cm square find ar (abcd) ?
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Answer:
60 cm²
Step-by-step explanation:
Construction: draw a parallel line from point E parallel to AD/BC
Let it intersect AB at X and CD at Y
In the figure AXYD, ||gram AXYD and ΔAED have the same base AD and are between the same parallel (AD||XY)
⇒ar(AXYD)=2*ar(AED)
given ar(AED)=20 cm²
⇒ar(AXYD)=40 cm²
Similarly, ar(XBCY)=2* ar(BEC)
ar(XBCY)=20 cm²
ar(ABCD)=ar(AXYD)+ar(XBCY)
=(40+20) cm²
= 60 cm²
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