Question

The area of a rectangular plot is 528 m². The length of the plot (in metres) is one metre more then twice its breadth. Find the length and the breadth of the plot.

Answer 1

SOLUTION :  

Given : Area of the rectangle = 528 m²

Let the breadth of the rectangle be x m

Length of the rectangle = (2x + 1) m

Area of the rectangle = l × b

(2x + 1) x x = 528

2x² + x - 528 = 0

2x² + 33x - 32x - 528 = 0

[By middle term splitting]

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

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

(x - 16) or (2x + 33) = 0

x = 16 or x = - 33/2

Since, the breadth can't be negative, so x ≠ - 33/2  

Therefore , x = 16

breadth of the rectangle = x =  16 m

Length of the rectangle = 2x + 1 =  (2× 16 + 1) = 32 + 1 = 33 cm  

Hence, the length and the breadth of the plot is 33 cm & 16 cm.

HOPE THIS ANSWER WILL HELP YOU…..

Answer 2

Answer:

Area =528m

2

Let Breadth be b

Then length l=2b+1

So (b)(2b+1)=528

⇒2b

2

+b−528=0

⇒2b

2

−32b+33b−528=0

⇒2b(b−16)+33(b−16)=0

⇒(2b+33)(b−16)=0

So b=16

l=33.