Subject: General Aptitude · Chapter: Area · Exam: · Marks: · Difficulty:
The length of one pair of opposite sides of a square is increased by 5 cm on each side; the ratio of the length and the breadth of the newly formed rectangle becomes 3 : 2. What is the area of the original square?
(a)25 sq. cm
(b)81 sq. cm
(c)100 sq. cm
(d)225 sq. cm
(e)None of these
Answer
Answer (as printed): D
Explanation
Let original length of each side = x cm. Then, its area = $\left(x^{2}\right) \mathrm{cm}^{2}$. Length of rectangle formed $=(x+5) \mathrm{cm}$ and its breadth $=x \mathrm{cm}$. $\therefore \quad \frac{x+5}{x}=\frac{3}{2} \Leftrightarrow 2 x+10=3 x \Leftrightarrow x=10$. ∴ Original length of each side $=10 \mathrm{cm}$ and its area $=100 \mathrm{cm}^{2}$.