Question

Area of a redangular plot is 528 m² . The lenghts of plot is one more than twice of its breadth We need to find length and breadth of plot .​

Answer 1

Let the breadth of rectangular plot (b) be ’x’ m. 

Then the length of th plot is one more than twice its breadth, 

∴ Length (l)= 2x + 1 m. 

But Length × Breadth = Area of rectangle l × b = A 

∴ x × (2x + 1) = 528 sq.m.  2x2 + x = 528 

∴ 2x2 + x – 528 = 0 is the required equation. 

Now, we have to find out the value of ‘x’ :  2x2 + x – 528

= 0  2x2 – 32x + 33x – 528

= 0  2x(x – 16) + 33(x – 16)

= 0  (x – 16) (2x + 33)

= 0 

If x – 16 = 0, then x = 16  If 2x + 33 = 0,

then x = -33/2 

∴ Breadth (b) = 16 m. 

Length (l) = (2x + 1) = 2(16) + 1 = 32 + 1 = 33m 

∴

Length (l) = 33 m  Breadth (b) = 16

I hope it is helpful to you

Answer 2

Answer:

Let Breadth be b

Then length l=2b+1

So (b)(2b+1)=528

⇒2b2+b−528=0

⇒2b2−32b+33b−528=0

⇒2b(b−16)+33(b−16)=0

⇒(2b+33)(b−16)=0

So b=16

l=33.