anonymous
  • anonymous
Find the area of a regular pentagon with a side length of 10m. Round to nearest tenth. PLEASE HELP!
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
The study guide is due tomorrow and I have a lot of questions on it! :(
anonymous
  • anonymous
So, the area of a regular pentagon, given side length is \(\ \huge \frac{5s^2}{4tan(\frac{180}{5})} \). The side length is s, so replace s with 10. The 5 can be replaced with the number of sides of the shape. A pentagon has 5 sides, so I inserted a 5. Now, its a matter of solving the equation... Do you need help with that?
anonymous
  • anonymous
Let me try solving it first.

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anonymous
  • anonymous
Okay. I'll solve it, and post your answer when you get it to verify
alexwee123
  • alexwee123
|dw:1334722501665:dw| divide pentagon into 5 equalaterial triangles this way is easier for me
anonymous
  • anonymous
@elleboedefeld Did you get an answer?
anonymous
  • anonymous
688.19? :(
anonymous
  • anonymous
Okay, so @elleboedefeld, I got \(\ \huge \approx 172.1m^2 \).
anonymous
  • anonymous
Im so stupid.
anonymous
  • anonymous
@elleboedefeld No you're not, it takes time to learn new things. Here's what I did:
anonymous
  • anonymous
\(\ \huge \frac{5 \bullet 10^2}{4tan(\frac{180}{5})} \) = \(\ \huge \frac{500}{4tan(\frac{180}{5})} \) = Type this into a calculator. I think this is where you might have made a mistake. Type this into your calculator like this: 500/4tan((180/5)). If you don't the calculator will misinterpret what you typed in. Then, after rounding to the nearest tenth, I got \(\ \huge \approx 172.1m^2 \). Do you understand?
anonymous
  • anonymous
Yes! Thank you! :)
anonymous
  • anonymous
@elleboedefeld No problem! Good Luck! :D

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