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In rectangle, opposite sides are equal .
2x −y−18=x−2y+9
−y−18=x−2y+9and 3y=2x+6
rerranging both equations.
2x-x-y+2y=9+18
x+y=27 .......(1)
-2x+3y=6......(2)
multiplying 2 to equation (1)
2x+2y=54.....(3)
solving (2) & (3) simultaneously...
-2x+3y=6
2x+2y=54
__________
5y= 60
y=60/5
y= 12
substituting this value in eqn(1)
x+y=27
x+12=27
x=27-12
x= 15
thus length is 15 and breadth is 12
Area required= length × breadth
= 15×12
= 180 sq unit.
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