Area and Properties of Regular Polygons for 7th Graders

1. A regular hexagon has a side length of 6 cm. What is the area of the hexagon?

• 36 cm²

• 72 cm²

• 18√3 cm²

• 54√3 cm²

2. If a regular pentagon has a perimeter of 50 cm, what is the length of one side?

• 5 cm

• 20 cm

• 15 cm

• 10 cm

3. A regular octagon is inscribed in a circle with a radius of 10 cm. What is the area of the octagon?

• 400 cm²

• 600 cm²

• 482.8 cm²

• 300 cm²

4. A garden is designed in the shape of a regular triangle with each side measuring 8 m. Calculate the area of the garden.

• 12 m²

• 16√3 m²

• 24√3 m²

• 32 m²

5. A regular quadrilateral has an area of 64 m². What is the length of one side?

• 8 m

• 12 m

• 6 m

• 10 m

6. If a regular dodecagon (12-sided polygon) has a side length of 5 m, what is its area?

• 350 m²

• 279.9 m²

• 150 m²

• 200 m²

7. A soccer field is shaped like a rectangle with a regular pentagon at one end. If the pentagon has a side length of 4 m, what is the area of the pentagon?

• 15.5 m²

• 32 m²

• 27.527 m²

• 20 m²

8. A regular heptagon has an area of 100 cm². If the apothem is 8 cm, what is the length of one side?

• 5.00 cm

• 3.57 cm

• 6.10 cm

• 4.25 cm

9. A regular polygon has 8 sides and each side measures 3 m. What is the total perimeter of the polygon?

• 20 m

• 18 m

• 30 m

• 24 m

10. A regular polygon has an area of 150 m² and consists of 6 equal sides. What is the length of one side?

• 4.25 m

• 7.10 m

• 6.50 m

• 5.77 m