Mensuration Ques 19
Question
The length of a rectangle is $\frac{3}{5}$ of the side of a square. The radius of a circle is equal to side of the square. The circumference of the circle is $132 cm$. What is the area of the rectangle if the breadth of the rectangle is $8 cm$ ?
(1) 112.4 sq. cm.
(2) 104.2 sq. cm.
(3) 100.8 sq. cm.
(4) Cannot be determined
(5) None of these
(Indian Overseas Bank PO Exam. 22.05.2011)
Show Answer
Correct Answer: (3)
Solution: (3)
$2 \pi r=132$
$\Rightarrow 2 \times \frac{22}{7} \times r=132$
$\Rightarrow r=\frac{132 \times 7}{2 \times 22}=21 cm$
$\therefore$ Side of square $=21 cm$
$\therefore$ Length of the rectangle $=\frac{3 \times 21}{5} cm$
$\therefore$ Area of the rectangle $=\frac{3 \times 21}{5} \times 8=100.8 sq . cm$.
BETA
