Subject: General Aptitude · Chapter: Area · Exam: · Marks: · Difficulty:
The area of a rectangle is thrice that of a square. If the length of the rectangle is 40 cm and its breadth is $\frac{3}{2}$ times that of the side of the square, then the side of the square is
(a)15 cm
(b)20 cm
(c)30 cm
(d)60 cm
Answer
Answer (as printed): B
Explanation
Let the side of the square be $x$ cm. Then, its area $=x^{2} \mathrm{cm}^{2}$. Area of the rectangle $=\left(3 x^{2}\right) \mathrm{cm}^{2}$. $\therefore \quad 40 \times \frac{3}{2} \times x=3 x^{2} \Leftrightarrow x=20$.