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Anni [7]
3 years ago
7

Find the area of the following shape. Show work.

Mathematics
1 answer:
Serga [27]3 years ago
6 0

Answer:

The total area:

12 units²

Step-by-step explanation:

There are three parts on this shape:

1 big right triangle

1 rectangle

1 small right triangle

  • Big right triangle:

area = (4*4)/2 = 16/2 = 8units²

  • Rectangle:

area = 2*1 = 2units²

  • Small right triangle:

area = (2*2)/2 = 2units²

  • Total area

8+2+2 = 12 units²

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the pyramid itself, is really, just one regular hexagon, at the bottom
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\bf \textit{area of a regular polygon}\\\\
A=\cfrac{1}{4}\cdot  n\cdot  s^2\cdot  cot\left( \frac{180}{n} \right)\qquad 
\begin{cases}
n=\textit{number of sides}\\
s=\textit{length of a side}\\
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