The area of a rectangular plot is 528m. The length of the plot is 1m more than twice its breadth. Find length and breadth.

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Solution

Let the breadth =b m
length = l =(2b+1)m
area =528m²

lb= 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=216+1=32+1=33m

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The area of a rectangular plot is 528m. The length of the plot is 1m more than twice its breadth. Find length and breadth.

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

Let the breadth =b m
length = l =(2b+1)m
area =528m²

lb= 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=216+1=32+1=33m