Question

The area of the rectangular plot is 528 m square . The length off-the-wall plot ( in meters ) is one more than twice it's breadth.We need to find the length and breadth of the plot?

Answer 1

Heya...

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 2

$\boxed{\rm{\purple{︎︎︎Answer︎︎︎}}}$

$\huge\bold{given}$

The area of the rectangular plot is 528 m²

$\huge\bold{To find}$

Length = ¿?

Breadth = ¿?

$\huge\bold{Now:)}$

Let's the breadth = b meter

Length = 2 [ breadth ] + 1

Length = ( 2b + 1 )m

Since : $\huge\mathfrak\pink{Area = Length× Breadth}$

( 2b + 1 ) × b = 528

2b² + b = 528

2b² + b - 528 = 0

Thus the required equation is :

$\mathbb\blue{2b² + b - 528}$

2b² + b - 528 = 0

2b² - 32b + 33b - 528 = 0

2b ( b - 16 ) + 33 ( b - 16 ) = 0

( b - 16 ) ( 2b + 33 ) = 0

So : b = 16 m

And L ( length ) = 2b + 1

===> 2 ( 16 ) + 1

===> 32 + 1

===> 33m

$\mathbb\blue{b = 16m ....... L = 33m}$