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

Answer 1

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.