Visualize a geometry-themed still-life setting. On the left side of the image, an open notebook lays flat showing diagrams which represent the two questions. The first diagram depicts a regular pentagon with a line indicating the apothem measurement of 3.2 m (without text). The second diagram depicts a regular hexagon with small marks evenly distributed around the perimeter signalling the total length is 60 in (without text). Surrounding this setting, add academic elements such as a compass, protractor, and a non-digital pencil. Use soft and calming colors.

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?

Please and thank you!

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

1B

2D
3B
4A
5D

4 and five are wrong the correct answer is.

4.D
5.B

B

D
B
D
B

for areas of regular polygons quiz unit 5 lesson 3 the answers are

B
D
B
D
B

45

67.5
4.65
288
150

Braylin is 100% correct

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

@ Braylin & @Aureliax_Angel are correct 100% TYSM!

Braylin and Aureliax_Angel are correct

got a 60%

100%%%%. @nope boy you wrong as H E double mfing hockey stick.

Use Braylin's

Trust in Braylin, he's right, 100%

1. B) 45
2. D) 67.5
3. B) 4.65
4. D) 288
5. B) 150

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Braylin and Angel are right as of march 20 2023.

Braylin and Angel are still correct

It's great to hear that Braylin and Angel's answers are still helpful! Just a reminder to always double-check with your teacher or instructor to confirm the correct answers for your assignments.