# Hi, I'm having a difficult time understanding a couple of Geometry questions on my homework and I'd really appreciate it if someone could answer them and explain to me how to get the same answer.

Question 1: A regular pentagon has an apothem of 3.2 m and an area of 37.2 m². What is the length of one side of the pentagon?

Question 2: A regular hexagon has perimeter 60 in. What is the hexagon's area?

1. 👍
2. 👎
3. 👁
4. ℹ️
5. 🚩
1. area = 1/2 perimeter * apothem
37.2 = 1/2 * 3.2p
p = 23.25
p=5s, so s=4.65

p=6s, so s=10
we have 30-60-90 triangles to form apothems, so
a = 5*sqrt(3) = 8.66

area = 1/2 * 8.66 * 60 = 259.8

1. 👍
2. 👎
3. ℹ️
4. 🚩
2. 1B
2D
3B
4A
5D

1. 👍
2. 👎
3. ℹ️
4. 🚩
3. 4 and five are wrong the correct answer is.
4.D
5.B

1. 👍
2. 👎
3. ℹ️
4. 🚩
4. B
D
B
D
B

1. 👍
2. 👎
3. ℹ️
4. 🚩
5. for areas of regular polygons quiz unit 5 lesson 3 the answers are
B
D
B
D
B

1. 👍
2. 👎
3. ℹ️
4. 🚩
6. 45
67.5
4.65
288
150

1. 👍
2. 👎
3. ℹ️
4. 🚩
7. Braylin is 100% correct

1. 👍
2. 👎
3. ℹ️
4. 🚩
8. GEOM B U5 L3 Areas of Regular Polygons
1. For questions 1 and 2, use the diagram below.

The figure above is a regular octagon with radii and a apothem drawn. What is m ∠1?
*B, 45°

2. What is m ∠2?
*D, 67.5°

3. A regular pentagon has a apothem of 3.2 m and an area of 37.2 m². What is the length of one side of the pentagon?
*B, 4.65 m

4. What is the area of the square below?
*D, 288 cm²

5. A regular hexagon has perimeter 60in. What is the hexagon's area?
*B, 150√³ in.²

1. 👍
2. 👎
3. ℹ️
4. 🚩
9. @ Braylin & @Aureliax_Angel are correct 100% TYSM!

1. 👍
2. 👎
3. ℹ️
4. 🚩
10. Braylin and Aureliax_Angel are correct

1. 👍
2. 👎
3. ℹ️
4. 🚩
11. got a 60%

1. 👍
2. 👎
3. ℹ️
4. 🚩
12. 100%%%%. @nope boy you wrong as H E double mfing hockey stick.

1. 👍
2. 👎
3. ℹ️
4. 🚩
13. Use Braylin's

1. 👍
2. 👎
3. ℹ️
4. 🚩