Exploring Areas: Composite Figures and Fractions Quiz

A rectangular garden measures 4 1/2 feet by 3 1/3 feet. If a circular flower bed with a radius of 1 1/2 feet is placed in the center, what is the area of the garden that remains after the flower bed is planted?

• 7.92 square feet

• 5.25 square feet

• 8.75 square feet

• 10.50 square feet

A playground is made up of a rectangular area measuring 10 feet by 6 feet and a semicircular area with a diameter of 6 feet. What is the total area of the playground?

• 50 sq ft

• 60 sq ft

• 80 sq ft

• 74.14 sq ft

A swimming pool is shaped like a rectangle measuring 15 feet by 10 feet, with a semicircle at one end that has a diameter of 10 feet. What is the total area of the swimming pool?

• 189.25 square feet

• 200 square feet

• 175 square feet

• 150 square feet

A composite figure consists of a rectangle that is 8 feet long and 3 feet wide, and a triangle on top with a base of 3 feet and a height of 4 feet. What is the total area of the composite figure?

• 30 square feet

• 15 square feet

• 24 square feet

• 36 square feet

Tags

CCSS.6.G.A.1

A rectangular box has a length of 12 inches, a width of 8 inches, and a height of 4 inches. If a cylindrical container with a radius of 2 inches and a height of 4 inches is placed inside, what is the volume of the box that remains unoccupied?

• 333.76 cubic inches

• 400 cubic inches

• 250 cubic inches

• 300 cubic inches

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A park is designed in the shape of a rectangle measuring 20 meters by 15 meters, with a circular fountain in the center that has a radius of 3 meters. What is the area of the park that is not occupied by the fountain?

• 271.73 square meters

• 250 square meters

• 271 square meters

• 300 square meters

A composite figure is made up of a square with a side length of 5 feet and a triangle with a base of 5 feet and a height of 3 feet. What is the total area of the composite figure?

• 32.5 square feet

• 25 square feet

• 40 square feet

• 15 square feet

Tags

CCSS.6.G.A.1

A rectangular classroom measures 12 feet by 10 feet, and there is a triangular stage at one end with a base of 10 feet and a height of 4 feet. What is the area of the classroom that is not occupied by the stage?

• 100 square feet

• 120 square feet

• 80 square feet

• 60 square feet

Tags

CCSS.6.G.A.1

A composite figure consists of a rectangle that is 9 feet long and 4 feet wide, and a square on one end with a side length of 4 feet. What is the total area of the composite figure?

• 36 square feet

• 45 square feet

• 64 square feet

• 52 square feet

Tags

CCSS.3.MD.C.7D

A garden is shaped like a rectangle measuring 10 feet by 5 feet, with a triangular flower bed on one side that has a base of 5 feet and a height of 3 feet. What is the total area of the garden?

• 57.5 square feet

• 60 square feet

• 45 square feet

• 50 square feet