Mastering Composite Shapes: Area Challenges for 5th Graders

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

• 40 square meters

• 50 square meters

• 46.86 square meters

• 45 square meters

A playground is made up of a rectangular area measuring 20 meters by 15 meters and a semicircular area with a diameter of 10 meters attached to one side. What is the total area of the playground?

• 339.25 square meters

• 300 square meters

• 400 square meters

• 250 square meters

A swimming pool is shaped like a rectangle measuring 12 meters by 6 meters, with a semicircular section at one end that has a diameter of 6 meters. What is the total area of the swimming pool?

• 86.13 square meters

• 72 square meters

• 90 square meters

• 78.5 square meters

A composite figure consists of a square with a side length of 4 meters and a triangle with a base of 4 meters and a height of 3 meters on top of it. What is the total area of the composite figure?

• 22 square meters

• 24 square meters

• 18 square meters

• 20 square meters

A rectangular room is 8 feet long and 6 feet wide. A circular table with a diameter of 3 feet is placed in the center. What is the area of the room that is not covered by the table?

• 50 sq ft

• 40.93 sq ft

• 45 sq ft

• 35.5 sq ft

A composite shape is formed by a rectangle measuring 10 cm by 4 cm and a triangle with a base of 4 cm and a height of 3 cm on top. What is the total area of the composite shape?

• 42 cm²

• 30 cm²

• 46 cm²

• 50 cm²

Tags

CCSS.6.G.A.1

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 excluding the pond?

• 1200 square meters

• 1500 square meters

• 1000 square meters

• 1421.46 square meters

A composite figure consists of a rectangle with a length of 10 meters and a width of 4 meters, and a triangle with a base of 4 meters and a height of 3 meters. What is the total area of the composite figure?

• 40 square meters

• 50 square meters

• 30 square meters

• 46 square meters

Tags

CCSS.6.G.A.1

A rectangular box has a length of 10 inches, a width of 5 inches, and a height of 3 inches. If a cylindrical container with a radius of 2 inches and a height of 3 inches is placed inside, what is the volume of the box that is not occupied by the cylinder?

• 112.3 cubic inches

• 100 cubic inches

• 120 cubic inches

• 95 cubic inches

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A composite figure is made up of a square with a side length of 6 meters and a rectangle with a length of 6 meters and a width of 2 meters attached to one side. What is the total area of the composite figure?

• 36 square meters

• 48 square meters

• 42 square meters

• 54 square meters

Tags

CCSS.3.MD.C.7D