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Find the area of the pentagon whose vert...

Find the area of the pentagon whose vertices are A(1, 1), B(7,21), C(7,-3) D(12, 2) and E(0, -3).

Text Solution

Verified by Experts

The correct Answer is:
146sq. Units
The required area is
`(1)/(2)|{:(1,,1,,),(7,,21,,),(12,,2,,),(7,,-3,,),(0,,-3,,),(1,,1,,):}|=(1)/(2)|(21+14-36-21)-(7+252+14-3)|`
`=146` sq.units
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