Subject: General Aptitude · Chapter: Area · Exam: 2008 · Marks: · Difficulty:
The area of a rectangle is four times the area of a square. The length of the rectangle is 90 cm and thebreadth of the rectangle is $\frac{2}{3} \mathrm{rd}$ the side of the square. What is the side of the square?
(a)9 cm
(b)10 cm
(c)20 cm
(d)Cannot be determined
(e)None of these
Answer
Answer (as printed): E
Explanation
Let the side of the square be $x \mathrm{cm}$. Then, breadth of the rectangle $=\left(\frac{2}{3} x\right) \mathrm{cm} .90 \times \frac{2}{3} x=4 x^{2} \Rightarrow 6 x=90 \Rightarrow x=15 \mathrm{cm}$.