Area and Volume Adventures: Add, Subtract, and Multiply!

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

• 37.43 square meters

• 25 square meters

• 45 square meters

• 30 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. What is the total area of the playground?

• 250 m²

• 400 m²

• 180 m²

• 339.27 m²

A swimming pool is shaped like a rectangle measuring 12 meters by 8 meters, and it has a circular hot tub with a radius of 1.5 meters attached to one corner. What is the total area of the pool and hot tub combined?

• 100 square meters

• 103.07 square meters

• 95.5 square meters

• 110 square meters

A rectangular classroom is 9 meters long and 6 meters wide. If a square rug with a side length of 3 meters is placed in the center, what is the area of the classroom that is not covered by the rug?

• 27 square meters

• 54 square meters

• 36 square meters

• 45 square meters

A park has a rectangular section that is 30 meters long and 20 meters wide, and a triangular section with a base of 20 meters and a height of 15 meters. What is the total area of the park?

• 600 square meters

• 750 square meters

• 400 square meters

• 500 square meters

A rectangular fish tank is 4 feet long, 2 feet wide, and 3 feet high. If a cylindrical filter with a radius of 1 foot and a height of 2 feet is placed inside, what is the volume of water that can be held in the tank after placing the filter?

• 17.72 cubic feet

• 10 cubic feet

• 20 cubic feet

• 15.5 cubic feet

A rectangular pizza has a length of 12 inches and a width of 8 inches. If a circular piece with a radius of 2 inches is removed from one corner, what is the area of the remaining pizza?

• 83.44 square inches

• 80 square inches

• 75.5 square inches

• 90 square inches

A rectangular field is 50 meters long and 30 meters wide. A circular pond with a radius of 5 meters is located in the middle of the field. What is the area of the field that is not covered by the pond?

• 1000 square meters

• 1421.46 square meters

• 1200 square meters

• 1500 square meters

A rectangular table measures 6 feet by 3 feet. If a square centerpiece with a side length of 1 foot is placed in the center, what is the area of the table that is not covered by the centerpiece?

• 10 square feet

• 20 square feet

• 17 square feet

• 15 square feet

A rectangular box has a length of 10 cm, a width of 5 cm, and a height of 4 cm. If a smaller rectangular box with a length of 2 cm, a width of 2 cm, and a height of 2 cm is placed inside, what is the volume of the larger box that remains empty?

• 192 cm³

• 200 cm³

• 180 cm³

• 150 cm³