The window of the house is in the form of a rectangle surmounted by a semi-circular portion, having a perimeter of 10 m as shown in figure.
If x and y represent the length and breadth of rectangular region, then the perimeter of the window in terms of x is :
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → $x+2y +\frac{\pi x}{2}=10$
Given
$x+2y+\frac{πx}{2}=10⇒2x+4y+πx=20$
so $y=\frac{20-(π+2)x}{4}$
$x⇒x+2y +\frac{\pi x}{2}=10$