# Lesson Worksheet: Areas of Regular Polygons Mathematics

In this worksheet, we will practice finding areas of regular polygons given their side lengths using a formula.

**Q6: **

The side length of a regular pentagon is 13 cm. Find the area of the pentagon giving the answer to three decimal places.

**Q9: **

If four congruent triangles are cut off from the corners of the rectangle to make an octagon as shown, what is the area of the octagon?

**Q10: **

A regular octagon has a side length of 88 cm. Find the area giving the answer to two decimal places.

**Q11: **

The base of a fish tank is a regular pentagon with a side length of 189 cm. Find the area of the base to the nearest square centimeter.

**Q16: **

The side length of a regular pentagon is 6 cm. Find the area of the pentagon giving the answer to three decimal places.

**Q21: **

Complete the following: The area of a regular octagon with perimeter 40 is .

- A
- B
- C
- D
- E

**Q22: **

Find the side length of a seven-sided regular polygon with an area of 817.63 cm^{2}.

**Q23: **

Complete the following: The area of a regular polygon can be calculated using the formula , where is the number of sides and is the side length.

- A
- B
- C
- D
- E

**Q24: **

Which of the following is the formula that is used to calculate the area of a regular -sided polygon with side length ?

- A
- B
- C
- D
- E

**Q25: **

Which of the following is the area of a regular hexagon with a perimeter of 120 cm?

- A cm
^{2} - B cm
^{2} - C cm
^{2} - D cm
^{2} - E cm
^{2}