Math, asked by 8972620777, 10 months ago

The area of a rectangular plot is 528m². the length of the plot (in metres) is one more than twice its breadth. we need to find the length and breadth of the plot.​

Answers

Answered by pinjaraarifisha
17

Answer:

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 \huge \mathfrak \purple { Answer\: is \: below}

Step-by-step explanation:

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

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Answered by bhoomibhardwaj4u
3

Answer:

Let the breadth =b m

Let the breadth =b mlength = l =(2b+1)m

Let the breadth =b mlength = l =(2b+1)marea =528m²

Let the breadth =b mlength = l =(2b+1)marea =528m²l*b= 528

Let the breadth =b mlength = l =(2b+1)marea =528m²l*b= 528(2b+1)b-528=0

Let the breadth =b mlength = l =(2b+1)marea =528m²l*b= 528(2b+1)b-528=02b²+b-528=0

Let the breadth =b mlength = l =(2b+1)marea =528m²l*b= 528(2b+1)b-528=02b²+b-528=02b²+33b-32b-528=0

Let the breadth =b mlength = l =(2b+1)marea =528m²l*b= 528(2b+1)b-528=02b²+b-528=02b²+33b-32b-528=0b(2b+33)- 16(2b+33)=0

Let the breadth =b mlength = l =(2b+1)marea =528m²l*b= 528(2b+1)b-528=02b²+b-528=02b²+33b-32b-528=0b(2b+33)- 16(2b+33)=0(2b+33)(b-16)=0

Let the breadth =b mlength = l =(2b+1)marea =528m²l*b= 528(2b+1)b-528=02b²+b-528=02b²+33b-32b-528=0b(2b+33)- 16(2b+33)=0(2b+33)(b-16)=02b+33=0 or b-16=0

Let the breadth =b mlength = l =(2b+1)marea =528m²l*b= 528(2b+1)b-528=02b²+b-528=02b²+33b-32b-528=0b(2b+33)- 16(2b+33)=0(2b+33)(b-16)=02b+33=0 or b-16=0b should not be zero

Let the breadth =b mlength = l =(2b+1)marea =528m²l*b= 528(2b+1)b-528=02b²+b-528=02b²+33b-32b-528=0b(2b+33)- 16(2b+33)=0(2b+33)(b-16)=02b+33=0 or b-16=0b should not be zerotherefore

Let the breadth =b mlength = l =(2b+1)marea =528m²l*b= 528(2b+1)b-528=02b²+b-528=02b²+33b-32b-528=0b(2b+33)- 16(2b+33)=0(2b+33)(b-16)=02b+33=0 or b-16=0b should not be zerothereforeb-16=0

Let the breadth =b mlength = l =(2b+1)marea =528m²l*b= 528(2b+1)b-528=02b²+b-528=02b²+33b-32b-528=0b(2b+33)- 16(2b+33)=0(2b+33)(b-16)=02b+33=0 or b-16=0b should not be zerothereforeb-16=0b=16

Let the breadth =b mlength = l =(2b+1)marea =528m²l*b= 528(2b+1)b-528=02b²+b-528=02b²+33b-32b-528=0b(2b+33)- 16(2b+33)=0(2b+33)(b-16)=02b+33=0 or b-16=0b should not be zerothereforeb-16=0b=16breadth = 16m

Let the breadth =b mlength = l =(2b+1)marea =528m²l*b= 528(2b+1)b-528=02b²+b-528=02b²+33b-32b-528=0b(2b+33)- 16(2b+33)=0(2b+33)(b-16)=02b+33=0 or b-16=0b should not be zerothereforeb-16=0b=16breadth = 16mlength =l= 2b+1=2*16+1=32+1=33m

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