Real-World Polygon Problems: Exploring Regular Shapes

A regular hexagon has a perimeter of 72 cm. What is the length of one side?

• 10 cm

• 15 cm

• 12 cm

• 8 cm

If a regular pentagon has a side length of 10 cm, what is its total perimeter?

• 60 cm

• 30 cm

• 50 cm

• 40 cm

A garden is designed in the shape of a regular octagon. If each side is 5 meters long, what is the total distance around the garden?

• 40 meters

• 25 meters

• 50 meters

• 30 meters

A regular triangle has an area of 24 square meters. If the height is 8 meters, what is the length of one side?

• 6 meters

• 10 meters

• 8 meters

• 4 meters

A regular dodecagon (12-sided polygon) has a total interior angle sum of 1800 degrees. What is the measure of each interior angle?

• 120 degrees

• 135 degrees

• 180 degrees

• 150 degrees

If a regular pentagon is inscribed in a circle with a radius of 6 cm, what is the length of one side of the pentagon?

• 7.05 cm

• 5.00 cm

• 8.50 cm

• 9.20 cm

A regular hexagon is painted with 6 different colors, one for each side. If each color is used only once, how many different ways can the hexagon be painted?

• 30

• 240

• 120

• 60

A soccer field is shaped like a rectangle with a regular octagonal corner. If the length of the field is 100 meters and the width is 60 meters, what is the area of the octagonal corner?

• 900 square meters

• 1086.3 square meters

• 250 square meters

• 500 square meters

If a regular polygon has 8 sides and each interior angle measures 135 degrees, what is the total number of sides of a polygon with each interior angle measuring 120 degrees?

• 10

• 6

• 4

• 8

A regular heptagon has a side length of 4 cm. What is the area of the heptagon using the formula A = (7/4) * s^2 * (1/tan(π/7))?

• 65.75 cm²

• 50.12 cm²

• 72.30 cm²

• 58.24 cm²