ABC26GN4323 · Area
Subject: General Aptitude · Chapter: Area · Exam: · Marks: · Difficulty:
A rectangular plot is half as long again as it is broad and its area is $\frac{2}{3}$ hectares. Then, its length is
(a)100 m
(b)33.33 m
(c)66.66 m
(d)$\frac{100 \sqrt{3}}{3} \mathrm{m}$
Answer
Explanation
Let breadth = $x$ metres. Then, length $=\left(\frac{3}{2} x\right)$ metres. Area $=\left(\frac{2}{3} \times 10000\right) \mathrm{m}^{2}$. $\therefore \frac{3}{2} x \times x=\frac{2}{3} \times 10000 \Leftrightarrow x^{2}=\frac{4}{9} \times 10000 \Leftrightarrow x=\frac{2}{3} \times 100$. ∴ Length $=\frac{3}{2} x=\left(\frac{3}{2} \times \frac{2}{3} \times 100\right) \mathrm{m}=100 \mathrm{m}$.
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