Subject: General Aptitude · Chapter: Area · Exam: 2008 · Marks: · Difficulty:
The breadth of a rectangular field is $\frac{3}{4}$ of its length and its area is 300 sq. metres. What will be the area (in sq. metres) of the garden of breadth 1.5 metres developed around the field?
(a)96
(b)105
(c)114
(d)Cannot be determined
(e)None of these
Answer
Answer (as printed): C
Explanation
Let the length of the field be $x$ metres. Then, breadth of the field $=\left(\frac{3}{4} x\right)$ metres. $$x \times \frac{3}{4} x=300 \Rightarrow x^{2}=300 \times \frac{4}{3}=400 \Rightarrow x=20 .$$ So. length $=20 \mathrm{m}$, breadth $=15 \mathrm{m}$. ∴ Area of the garden $=[\{(20+3) \times(15+3)\}-(20 \times 15)] \mathrm{m}^{2}$ $=[(23 \times 18)-(20 \times 15)] \mathrm{m}^{2}=(414-300) \mathrm{m}^{2}=114 \mathrm{m}^{2}$.