Answer:
r37grqigohw
Step-by-step explanation:
Answer:
I’m sorry I don’t know
Step-by-step explanation:
Since you can 4 pieces from 1 foot, you multiply 4 by 5 and you get 20 pieces.
Answer:
I,K F,H L,E J,G K,J H,G F,G I,J L,J G,E
1. Consider the pyramid ABCDE in the figure 1 attached:
Each side of the square base equals
![\sqrt{20} = \sqrt{4*5} = \sqrt{4}* \sqrt{5}=2 \sqrt{5}](https://tex.z-dn.net/?f=%20%5Csqrt%7B20%7D%20%3D%20%5Csqrt%7B4%2A5%7D%20%3D%20%5Csqrt%7B4%7D%2A%20%5Csqrt%7B5%7D%3D2%20%5Csqrt%7B5%7D%20%20%20)
(units)
Area of 1 lateral side of pyramid ABCDE is
![\frac{1}{2}* 2 \sqrt{5}*x=\sqrt{5}x](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%2A%202%20%5Csqrt%7B5%7D%2Ax%3D%5Csqrt%7B5%7Dx%20)
so the total lateral area is
![4\sqrt{5}x](https://tex.z-dn.net/?f=4%5Csqrt%7B5%7Dx)
(units squared)
and the total surface area is
![20+4\sqrt{5}x](https://tex.z-dn.net/?f=20%2B4%5Csqrt%7B5%7Dx)
(units squared)
2. Now consider the second figure KLMNP, Sydney's pyramid:
The lateral area is
![4* \frac{1}{2}* 4 \sqrt{5} *2x=16 \sqrt{5}x](https://tex.z-dn.net/?f=4%2A%20%5Cfrac%7B1%7D%7B2%7D%2A%204%20%5Csqrt%7B5%7D%20%2A2x%3D16%20%5Csqrt%7B5%7Dx%20)
so the total area of the second pyramid is
![20+16 \sqrt{5}x](https://tex.z-dn.net/?f=20%2B16%20%5Csqrt%7B5%7Dx)
So 2 things can be said about the areas:
i) the lateral area of Sydney's pyramid is
![\frac{16 \sqrt{5}x}{4\sqrt{5}x} =4](https://tex.z-dn.net/?f=%20%5Cfrac%7B16%20%5Csqrt%7B5%7Dx%7D%7B4%5Csqrt%7B5%7Dx%7D%20%3D4)
times larger than the lateral area of the original pyramid.
ii) The total area of Sydney's pyramid is
![(20+16 \sqrt{5}x)-(20+4\sqrt{5}x)=12\sqrt{5}x](https://tex.z-dn.net/?f=%2820%2B16%20%5Csqrt%7B5%7Dx%29-%2820%2B4%5Csqrt%7B5%7Dx%29%3D12%5Csqrt%7B5%7Dx)
units squared larger than the total area of the original pyramid.