Question

Area

Answer 1

@Michele_Laino

Answer 2

We should draw a pentagon first.

Answer 3

here we have to apply the subsequent formula:
\[area = \frac{{perimeter \times apothem}}{2}\]

Answer 4

The instructor says the formula of a regular polygon.

Answer 5

hint:
perimeter is:
\(perimeter= 5 \times side=5 \times 9=...?\)

Answer 6

45

Answer 7

correct!

Answer 8

and apothem is:
\(apothem = side \times 0.688= 9 \times 0.688=...?\)
here \(0.688\) is a fixed nuumber

Answer 9

6.192

Answer 10

correct!
so the requested area, is:
\[\Large \begin{gathered}
area = \frac{{perimeter \times apothem}}{2} = \hfill \\
\hfill \\
= \frac{{45 \times 6.192}}{2} = ...? \hfill \\
\end{gathered} \]

Answer 11

139.32

Answer 12

that's right! Now we have to round such result as requested from the problem

Answer 13

hint: we have to round to the nearest tenth

Answer 14

140

Answer 15

hint:
if I write 139.32 I have rounded to the nearest hundredth

Answer 16

we have to take only one decimal figure

Answer 17

139.3

Answer 18

that's right! :)

Answer 19

the similitude ratio is:
\[\frac{{39}}{{27}} = ...?\]
please simplify such ratio

Answer 20

\[\frac{ 13 }{ 9 }\]

Answer 21

correct! So the requested area, is:
\[A = 711 \cdot {\left( {\frac{{13}}{9}} \right)^2} = ...?\]

Answer 22

1483.4