The area of a rectangular plot is 528 m 2 . The length of the plot (in meters) is one more than twice its breadth. find the length and breadth of the plot.
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let the breadth =b m
length = l =(2b+1)m
area =528m²
l*b= 528
(2b+1)b-528=0
2b²+b-528=0
2b²+33b-32b-528=0
b(2b+33)- 16(2b+33)=0
(2b+33)(b-16)=0
2b+33=0 or b-16=0
b should not be zero
therefore
b-16=0
b=16
breadth = 16m
length =l= 2b+1=2*16+1=32+1=33m
length = l =(2b+1)m
area =528m²
l*b= 528
(2b+1)b-528=0
2b²+b-528=0
2b²+33b-32b-528=0
b(2b+33)- 16(2b+33)=0
(2b+33)(b-16)=0
2b+33=0 or b-16=0
b should not be zero
therefore
b-16=0
b=16
breadth = 16m
length =l= 2b+1=2*16+1=32+1=33m
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