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Find the area of a regular pentagon with a side length of 10m. Round to nearest tenth. PLEASE HELP!
 2 years ago
 2 years ago
Find the area of a regular pentagon with a side length of 10m. Round to nearest tenth. PLEASE HELP!
 2 years ago
 2 years ago

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elleboedefeldBest ResponseYou've already chosen the best response.0
The study guide is due tomorrow and I have a lot of questions on it! :(
 2 years ago

Study23Best ResponseYou've already chosen the best response.1
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?
 2 years ago

elleboedefeldBest ResponseYou've already chosen the best response.0
Let me try solving it first.
 2 years ago

Study23Best ResponseYou've already chosen the best response.1
Okay. I'll solve it, and post your answer when you get it to verify
 2 years ago

alexwee123Best ResponseYou've already chosen the best response.0
dw:1334722501665:dw divide pentagon into 5 equalaterial triangles this way is easier for me
 2 years ago

Study23Best ResponseYou've already chosen the best response.1
@elleboedefeld Did you get an answer?
 2 years ago

Study23Best ResponseYou've already chosen the best response.1
Okay, so @elleboedefeld, I got \(\ \huge \approx 172.1m^2 \).
 2 years ago

Study23Best ResponseYou've already chosen the best response.1
@elleboedefeld No you're not, it takes time to learn new things. Here's what I did:
 2 years ago

Study23Best ResponseYou've already chosen the best response.1
\(\ \huge \frac{5 \bullet 10^2}{4tan(\frac{180}{5})} \) = \(\ \huge \frac{500}{4tan(\frac{180}{5})} \) = 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?
 2 years ago

elleboedefeldBest ResponseYou've already chosen the best response.0
Yes! Thank you! :)
 2 years ago

Study23Best ResponseYou've already chosen the best response.1
@elleboedefeld No problem! Good Luck! :D
 2 years ago
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