Subject: General Aptitude · Chapter: Area · Exam: 2006 · Marks: · Difficulty:
The diagonal of a rectangle is 10 cms and is twice the length of one of the sides. What is the area of the rectangle in sq. cm?
(a)$10 \sqrt{3}$
(b)25
(c)$25 \sqrt{3}$
(d)100
Answer
Answer (as printed):
Explanation
Length of one side $=\frac{10}{2} \mathrm{cm}=5 \mathrm{cm}$. Let the length of the other side be $x \mathrm{cm}$. Then, $x^{2}+5^{2}=(10)^{2} \Rightarrow x^{2}=75 \Rightarrow x=5 \sqrt{3}$. $$\therefore \quad \text { Area of the rectangle }=(5 \times 5 \sqrt{3}) \mathrm{cm}^{2}=25 \sqrt{3} \mathrm{cm}^{2} .$$