Composite Shapes & Word Problems: Area Challenge for 5th Grade

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

• 30 square meters

• 37.43 square meters

• 25 square meters

• 45 square meters

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

• 28 + 3π square meters

• 32 + 2π square meters

• 36 + π square meters

• 30 square meters

A playground consists of a rectangular sandbox that is 6 feet long and 4 feet wide, and a circular swing area with a radius of 3 feet. What is the total area of the playground?

• 24 + 9π square feet

• 30 square feet

• 20 + 6π square feet

• 15 + 4π square feet

A rectangular classroom is 12 feet long and 10 feet wide. There is a circular rug in the center with a radius of 2 feet. What is the area of the classroom that is not covered by the rug?

• 100 sq ft

• 107.43 sq ft

• 110 sq ft

• 95 sq ft

A composite figure is made up of a rectangle that is 5 meters by 3 meters and a triangle with a base of 3 meters and a height of 4 meters. What is the total area of the composite figure?

• 12 square meters

• 21 square meters

• 18 square meters

• 15 square meters

A rectangular pool is 15 feet long and 10 feet wide, and it has a circular hot tub with a radius of 2 feet attached to one side. What is the area of the pool that is not occupied by the hot tub?

• 100 sq ft

• 120 sq ft

• 137.43 sq ft

• 150 sq ft

A garden is designed in the shape of a rectangle measuring 20 meters by 10 meters, with a triangular flower bed at one end that has a base of 10 meters and a height of 5 meters. What is the area of the garden that is not taken up by the flower bed?

• 150 square meters

• 175 square meters

• 175 square centimeters

• 200 square meters

A rectangular field is 30 meters long and 20 meters wide. In one corner, there is a circular pond with a radius of 3 meters. What is the area of the field that is not covered by the pond?

• 500 m²

• 550 m²

• 600 m²

• 571.73 m²

A composite shape consists of a rectangle that is 8 inches by 4 inches and a square that is 4 inches on each side. What is the total area of the composite shape?

• 24 square inches

• 48 square inches

• 40 square inches

• 32 square inches

A rectangular dining room is 14 feet long and 10 feet wide, and there is a circular table in the center with a diameter of 4 feet. What is the area of the dining room that is not occupied by the table?

• 130 sq ft

• 127.43 sq ft

• 140 sq ft

• 120 sq ft