Area & Perimeter: Decomposing Shapes for Grade 5

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

• 50 square meters

• 37.43 square meters

• 25 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 of the shorter sides. What is the total area of the playground?

• 300 m²

• 400 m²

• 339.25 m²

• 250 m²

A swimming pool is shaped like a rectangle measuring 12 meters by 8 meters, and it has a deck that is 2 meters wide around it. What is the perimeter of the entire pool and deck combined?

• 56 meters

• 64 meters

• 48 meters

• 36 meters

A composite figure consists of a square with a side length of 6 meters and a triangle with a base of 6 meters and a height of 4 meters attached to one side. What is the total area of the composite figure?

• 54 square meters

• 48 square meters

• 36 square meters

• 42 square meters

A rectangular room is 9 feet long and 6 feet wide. A closet that is 3 feet by 2 feet is built into one corner of the room. What is the perimeter of the room excluding the closet?

• 30 feet

• 32 feet

• 24 feet

• 28 feet

A park has a rectangular section that is 50 meters long and 30 meters wide, and a triangular section with a base of 30 meters and a height of 20 meters. What is the total area of the park?

• 1500 square meters

• 1800 square meters

• 2000 square meters

• 1200 square meters

A rectangular table measures 4 feet by 3 feet. If a runner that is 1 foot wide is placed around the table, what is the perimeter of the table including the runner?

• 18 feet

• 22 feet

• 20 feet

• 24 feet

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 on top of it. What is the total area of the composite figure?

• 50 cm²

• 46 cm²

• 40 cm²

• 30 cm²

A rectangular field is 100 meters long and 50 meters wide. A path that is 5 meters wide runs along the inside of the field. What is the area of the field that is not covered by the path?

• 5000 square meters

• 3600 square meters

• 2500 square meters

• 4500 square meters

A house has a rectangular base measuring 12 meters by 10 meters and a triangular roof with a base of 12 meters and a height of 5 meters. What is the total perimeter of the house?

• 50 + 5 + 2*sqrt(70) meters

• 40 + 10 + 2*sqrt(50) meters

• 30 + 15 + 2*sqrt(80) meters

• 44 + 12 + 2*sqrt(61) meters