A rectangular window is fixed with n Louvre blades. How many identical Louvre blades would be required to fix a window which is twice as long and twice as wide
To fix a window that is twice as long and twice as wide, we need to double the dimensions of the original window.
Let's say the original window has dimensions L x W.
The new window will have dimensions 2L x 2W.
Each Louvre blade is fixed in the window, so the number of blades needed will be proportional to the area of the window.
The area of the original window is L x W.
The area of the new window is (2L) x (2W) = 4L x 4W = 16LW.
So, to fix the new window, we will need 16 times the number of blades compared to the original window.
Therefore, the number of identical Louvre blades required will be 16n.