## elleboedefeld Group Title 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

1. elleboedefeld Group Title

The study guide is due tomorrow and I have a lot of questions on it! :(

2. Study23 Group Title

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?

3. elleboedefeld Group Title

Let me try solving it first.

4. Study23 Group Title

Okay. I'll solve it, and post your answer when you get it to verify

5. alexwee123 Group Title

|dw:1334722501665:dw| divide pentagon into 5 equalaterial triangles this way is easier for me

6. Study23 Group Title

@elleboedefeld Did you get an answer?

7. elleboedefeld Group Title

688.19? :(

8. Study23 Group Title

Okay, so @elleboedefeld, I got $$\ \huge \approx 172.1m^2$$.

9. elleboedefeld Group Title

Im so stupid.

10. Study23 Group Title

@elleboedefeld No you're not, it takes time to learn new things. Here's what I did:

11. Study23 Group Title

$$\ \huge \frac{5 \bullet 10^2}{4tan(\frac{180}{5})}$$ = $$\ \huge \frac{500}{4tan(\frac{180}{5})}$$ = 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?

12. elleboedefeld Group Title

Yes! Thank you! :)

13. Study23 Group Title

@elleboedefeld No problem! Good Luck! :D