Subject: General Aptitude · Chapter: Area · Exam: · Marks: · Difficulty:
The area of a field in the shape of a trapezium measures $1440 \mathrm{m}^{2}$. The perpendicular distance between its parallel sides is 24 m. If the ratio of the parallel sides is 5 : 3, the length of the longer parallel side is
(a)45 m
(b)60 m
(c)75 m
(d)120 m
Answer
Answer (as printed): C
Explanation
Area of field $=\left[\frac{1}{2} \times(5 x+3 x) \times 24\right] \mathrm{m}^{2}=(96 x) \mathrm{m}^{2}$. $$\therefore 96 x=1440 \Leftrightarrow x=\frac{1440}{96} \Leftrightarrow x=15 \text {. }$$ Longer side of field $=5 \times 15=75 \mathrm{m}$