Real-World Area Challenges: Composite Figures for Grade 6

A rectangular garden measures 10 meters by 5 meters. A circular flower bed with a radius of 2 meters is placed in the center of the garden. What is the area of the garden that is not occupied by the flower bed?

• 40 square meters

• 25 square meters

• 37.43 square meters

• 50 square meters

A swimming pool is shaped like a rectangle measuring 15 meters by 8 meters, with a semicircular section at one end that has a radius of 4 meters. What is the total area of the swimming pool?

• 145.13 square meters

• 100 square meters

• 160 square meters

• 120 square meters

A playground consists of a rectangular area measuring 20 meters by 10 meters and a triangular sandbox with a base of 6 meters and a height of 4 meters. What is the total area of the playground?

• 180 square meters

• 200 square meters

• 212 square meters

• 150 square meters

A rectangular room is 12 feet long and 9 feet wide. A square rug with a side length of 3 feet is placed in the center of the room. What is the area of the room that is not covered by the rug?

• 90 square feet

• 99 square feet

• 105 square feet

• 96 square feet

A park has a rectangular section that is 50 meters long and 30 meters wide, and a circular pond with a radius of 5 meters. What is the area of the park that is not occupied by the pond?

• 1000 square meters

• 1200 square meters

• 1421.46 square meters

• 1500 square meters

A composite figure is made up of a rectangle that is 10 cm by 4 cm and a triangle with a base of 4 cm and a height of 3 cm. What is the total area of the composite figure?

• 50 cm²

• 42 cm²

• 46 cm²

• 30 cm²

A rectangular field measures 40 meters by 25 meters, and a circular fountain with a diameter of 10 meters is located in the center. What is the area of the field that is not taken up by the fountain?

• 750 square meters

• 850 square meters

• 1000 square meters

• 921.5 square meters

A classroom has a rectangular area of 30 feet by 20 feet, and a circular table with a radius of 2 feet is placed in the corner. What is the area of the classroom that is not occupied by the table?

• 500 square feet

• 600 square feet

• 587.44 square feet

• 400 square feet

A composite shape consists of a rectangle measuring 12 inches by 5 inches and a semicircle with a diameter of 6 inches attached to one of the shorter sides. What is the total area of the composite shape?

• 50.5 square inches

• 60 square inches

• 74.13 square inches

• 80 square inches

A garden is designed in the shape of a rectangle measuring 15 meters by 10 meters, with a triangular flower bed at one end that has a base of 5 meters and a height of 4 meters. What is the total area of the garden?

• 160 square meters

• 150 square meters

• 180 square meters

• 120 square meters