Subject: General Aptitude · Chapter: Area · Exam: 2007 · Marks: · Difficulty:
A circular wire of diameter 42 cm is bent in the form of a rectangle whose sides are in the ratio 6 : 5. Find the area of the rectangle.
Answer
Answer (as printed):
Explanation
We have: $r=21 \mathrm{cm}$. Perimeter of the rectangle = Circumference of the circle $$=\left(2 \times \frac{22}{7} \times 21\right) \mathrm{cm}=132 \mathrm{cm} .$$ Let the sides of the rectangle be $6 x$ and $5 x$. Then, $2(6 x+5 x)=132 \Rightarrow 11 x=66 \Rightarrow x=6$. So, the sides of the rectangle are 36 cm and 30 cm. ∴ Area of the rectangle $=(36 \times 30) \mathrm{cm}^{2}=1080 \mathrm{cm}^{2}$.