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Question

A field in the form of parallelogram has sides 60m and 40m and one of its diagonals is 80m long. Find the area of parallelogram.

A
62015 m2
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B
58015 m2
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C
61015 m2
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D
60015 m2
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Solution

The correct option is D 60015 m2
s=AB+BC+AC2=1802=90 m
Area (ΔABC)
=ss(sAB)(sBC)(sAC)
=90(9060)(9040)(9080)
=90×30×50×10
=1350000
=15×90000
=30015 m2
Area (ΔABCD)
=2×30015=60015 m2

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