Exploring Area and Perimeter in Composite Figures

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 total area of the garden excluding the flower bed?

• 37.43

• 25.12

• 45.78

• 30.00

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 radius of 2 meters. What is the total perimeter of the swimming pool?

• 20 + 2π meters

• 24 + 2π meters

• 24 meters

• 16 + π meters

Tags

CCSS.3.MD.D.8

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

• 40 square feet

• 60 square feet

• 52.26 square feet

• 45.12 square feet

A rectangular room is 12 feet long and 10 feet wide. A square table with sides of 2 feet is placed in the center. What is the area of the room that is not occupied by the table?

• 116 square feet

• 120 square feet

• 110 square feet

• 100 square feet

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?

• 15 square meters

• 21 square meters

• 12 square meters

• 18 square meters

Tags

CCSS.6.G.A.1

A fence surrounds a rectangular garden that is 15 meters long and 10 meters wide. If a circular flower bed with a diameter of 4 meters is inside the garden, what is the perimeter of the garden excluding the flower bed?

• 30 meters

• 60 meters

• 50 meters

• 40 meters

Tags

CCSS.4.MD.A.2

A rectangular pool is 20 feet long and 10 feet wide, and it has a semicircular section at one end with a diameter of 10 feet. What is the total area of the pool?

• 150 + 5π square feet

• 200 + 12.5π square feet (approximately 239.27 square feet)

• 250 square feet

• 180 + 10π square feet

A rectangular field is 30 meters long and 20 meters wide. A circular pond with a radius of 5 meters is located in the center. What is the area of the field that is not covered by the pond?

• 600 square meters

• 400 square meters

• 250 square meters

• 521.46 square meters

A composite figure consists of a rectangle measuring 8 cm by 4 cm and a triangle with a base of 4 cm and a height of 3 cm. What is the total perimeter of the composite figure?

• 28 cm

• 31.2 cm

• 34 cm

• 30 cm

Tags

CCSS.3.MD.D.8

A rectangular classroom is 9 meters long and 6 meters wide. A square rug with sides of 3 meters is placed in the center. What is the perimeter of the classroom that is not covered by the rug?

• 24 meters

• 30 meters

• 36 meters

• 18 meters

Tags

CCSS.3.MD.D.8