Exploring Area Calculations for Polygons and Circles

What is the area of a parallelogram with a base of 6 inches and a height of 4 inches?

• 24 square inches

• 10 square inches

• 48 square inches

• 20 square inches

If the area of a rectangle is represented by 5x^2 - 5x, and the base is 5, what is the height?

• x^2 - x

• x^2 + x

• 5x

• x^2

What is the perimeter of a rectangle with sides 2x and 6?

• 12 + 2x feet

• 14 + 4x feet

• 12 + 4x feet

• 8 + 2x feet

For a trapezoid with bases 9 and 12, and height 3, what is the area?

• 42 square units

• 21 square units

• 63 square units

• 31.5 square units

How do you calculate the area of a kite with diagonals 18 feet and 52 feet?

• 468 square feet

• 104 square feet

• 936 square feet

• 234 square feet

What is the area of a circle with a radius of 8 cm?

• 64π square cm

• 128π square cm

• 16π square cm

• 32π square cm

If the circumference of a circle is 24π, what is the radius?

• 6 inches

• 24 inches

• 48 inches

• 12 inches

What is the area of a regular hexagon with a side length of 6 meters and an apothem of approximately 5.2 meters?

• 187.2 square meters

• 93.6 square meters

• 54 square meters

• 108 square meters

What is the length of the apothem in a regular pentagon with a side length of 8 inches?

• 5.5 inches

• 8 inches

• 11 inches

• 4.5 inches

How do you find the area of a regular polygon?

• 1/2 * Apothem * Perimeter

• Base * Height

• Length of all sides * Apothem

• 1/2 * Base * Height