Question

The length of a rectangular field exceeds its breadth by 8 m and the area of the field is `240 m^2` . The breadth of the field is

(a) 20 m (b) 30 m (c) 12 m (d) 16 m

Answer 1

Let the breadth of the rectangular field be x m.

Length of the rectangular field =`(x+8)m` 

Area of the rectangular field=`240m^2`      (Given) 

∴`  (x+8)xx x=240`                `"(Area"="Length" xx "Breadth)"`

⇒` x^2+8x-240=0` 

⇒`x^2+20x-12x-240=0` 

⇒`x(x-20)-12(x+20)=0` 

⇒`(x+20)(x-20)=0` 

⇒`x+20=0 or  x-12=0` 

⇒`x=-20  or  x=12` 

∴ x=12  (Breadth cannot be negative) Thus, the breadth of the field is 12 m Hence, the correct answer is option C.