Subject: General Aptitude · Chapter: Area · Exam: · Marks: · Difficulty:
The base of a triangular field is three times its altitude. If the cost of cultivating the field at ₹ 24.68 per hectare be ₹ 333.18, find its base and height.
Answer
Answer (as printed):
Explanation
Area of the field $=\frac{\text { Total cost }}{\text { Rate }}=\left(\frac{333.18}{24.68}\right)$ hectares $=13.5$ hectares $$=(13.5 \times 10000) \mathrm{m}^{2}=135000 \mathrm{m}^{2} .$$ Let altitude $=x$ metres and base $=3 x$ metres. Then, $\frac{1}{2} \times 3 x \times x=135000 \Leftrightarrow x^{2}=90000 \Leftrightarrow x=300$. ∴ Base $=900 \mathrm{m}$ and Altitude $=300 \mathrm{m}$.