To be able to make sure your camera is in focus
Well 4 and 6 have a common multiple:12 so

Step-by-step explanation:
The area would be 9 times compared to the area of the original square. To test this, you can let the side of the original square be equal 1. By tripling this side, the side becomes three. Utilizing the area of a square formula, A= s^2, the area of the original square would be 1 after substituting 1 for s. Then, you do the same for the area of the tripled square. With the substitution, the area of the tripled square would be 9. This result displays the area of the tripled square being 9 times as large as the area of the original square. This pattern can be used for other measurements of the square such as:
let s = 2, Original Area= 2^2 = 4 Tripled Area= (2(3))^2 = 6^2= 36. 36/4 = 9
let s = 3, Original Area = 3^2 = 9 Tripled Area - (3(3))^2 = 9^2 =81. 81/9 = 9
let s = 4, Original Area = 4^2 = 16 Tripled Area - (4(3))^2 = 12^2 = 144. 144/16 = 9
let s = 5, Original Area = 5^2 = 25 Tripled Area - (5(3))^2 = 15^2 = 225. 225/25 = 9
let s = 6, Original Area = 6^2 = 36 Tripled Area - (6(3))^2 = 18^2 = 324. 324/36 = 9
let s = 7, Original Area = 7^2 = 49 Tripled Area - (7(3))^2 = 21^2 = 2,401. 2,401/49 = 9
You can continue to increase the length of the square and follow this pattern and it will be consistent.
Answer:
Wire should be cut in two parts with the length = 15.69 ft and 12.31 ft
Step-by-step explanation:
Length of the wire = 28 ft has been cut in two pieces.
One piece is used to form a square and remaining piece to form a circle.
Let the length of the wire which forms the square is 'l' ft.
Area of the square = (side)²
Perimeter of the square = 4(side) = l
Length of one side = 
So, the area of the square =
ft²
Now length of the remaining part = perimeter of the circle = (28 - l) ft
2πr = (28 - l)
r = 
Area of the circle formed = πr²
= 
= 
Combined area of the square and circle
=
+ 
=
+ 
Now to maximize the area we will find the derivative of the area with respect to l.
![\frac{dA}{dl}=\frac{d}{dl}[\frac{l^{2}}{16}+\frac{(28-l)^{2}}{4\pi}]](https://tex.z-dn.net/?f=%5Cfrac%7BdA%7D%7Bdl%7D%3D%5Cfrac%7Bd%7D%7Bdl%7D%5B%5Cfrac%7Bl%5E%7B2%7D%7D%7B16%7D%2B%5Cfrac%7B%2828-l%29%5E%7B2%7D%7D%7B4%5Cpi%7D%5D)
= ![\frac{d}{dl}[\frac{l^{2}}{16}+\frac{(28)^{2}+l^{2}-56l }{4\pi }]](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdl%7D%5B%5Cfrac%7Bl%5E%7B2%7D%7D%7B16%7D%2B%5Cfrac%7B%2828%29%5E%7B2%7D%2Bl%5E%7B2%7D-56l%20%7D%7B4%5Cpi%20%7D%5D)
= 
Now equate the derivative to zero.
= 0




l(4 + π) = 112
l(4 + 3.14) = 112
l = 
l = 15.69 ft
Length of the other part = 28 - 15.69 = 12.31 ft
Therefore, wire should be cut in two parts with the length = 15.69 ft and 12.31 ft