Find the area of a regular hexagon with a side length of 4cm an apothem of approximately 3.5 cm
1 answer:
HEXA = 6, 6 sides, thus the hexagon has 6 sides, each side is 4 cm long, thus that gives us a perimeter of 6 * 4 = 24.
![\bf \textit{area of a regular polygon}\\\\ A=\cfrac{1}{2}ap~~ \begin{cases} a=apothem\\ p=perimeter\\[-0.5em] \hrulefill\\ p=24\\ a=3.5 \end{cases}\implies A=\cfrac{1}{2}(3.5)(24)\implies A=42](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Barea%20of%20a%20regular%20polygon%7D%5C%5C%5C%5C%20A%3D%5Ccfrac%7B1%7D%7B2%7Dap~~%20%5Cbegin%7Bcases%7D%20a%3Dapothem%5C%5C%20p%3Dperimeter%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20p%3D24%5C%5C%20a%3D3.5%20%5Cend%7Bcases%7D%5Cimplies%20A%3D%5Ccfrac%7B1%7D%7B2%7D%283.5%29%2824%29%5Cimplies%20A%3D42)
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Answer:
390 seniors
Step-by-step explanation:
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Answer:
45
Step-by-step explanation:
x + 3x = 180
Combine like terms : 4x = 180
180/4 = 45