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

Options

A. 20 m
B. 30 m
C. 12 m
D. 16 m

Answer

C

Explanation

Let the breadth of the field be x m. Then, length `=(x+8)m.`
`:." "(x+8)xx x=240impliesx^(2)+8x-240=0impliesx^(2)+20x-12x-240=0`
`impliesx(x+20)-12(x+20)=0`
`implies(x+20)(x-12)=0.`