Objective Questions (MCQ)
The length of a rectangular field exceeds its breadth by 8 m and the area of the field is 240 m2. The breadth of the field is
(a) 20 m (b) 30 m (c) 12 m (d) 16 m
Let the breadth of the rectangular field be x m.
∴ Length of the rectangular field = (x + 8) m
Area of the rectangular field = 240 m2
$\therefore(x+8) \times x=240 \quad$ (Area = Length $\times$ Breadth)
$\Rightarrow x^{2}+8 x-240=0$
$\Rightarrow x^{2}+20 x-12 x-240=0$
$\Rightarrow x(x+20)-12(x+20)=0$
$\Rightarrow(x+20)(x-12)=0$
$\Rightarrow x+20=0$ or $x-12=0$
$\Rightarrow x=-20$ 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.
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