AP ICET 2017 Shift 1 Paper

Let the length and breadth of rectangle be 6x and 5x
Perimeter of rectangle = Circumference of circle
$\Rightarrow 2\left(6\mathit{x}+5\mathit{x}\right)=\mathit{\pi }\mathit{d}$
$\Rightarrow 22\mathit{x}=\frac{22}{7}\times 42\Rightarrow \mathit{x}=6$
∴ length$=6\mathit{x}=36\mathit{c}\mathit{m}$
breadth $=5\mathit{x}=30\mathit{c}\mathit{m}$
The triangle formed will be right angled triangle
Area of triangle $=\frac{1}{2}\times 36\times 30=540\mathit{c}{\mathit{m}}^2$
Note : If 42 cm is taken as radius instead of diameter, the answer would be 2160 sq.cm