Question
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
Answers
Answered by
GPT 3.5
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.
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.