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
Answer:
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
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