Mastering Area: Composite Shapes and Formulas Challenge

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?

• 37.43 square meters

• 40 square meters

• 50 square meters

• 25 square meters

A swimming pool is in the shape of a rectangle measuring 15 meters by 8 meters. Surrounding the pool is a deck that is 2 meters wide on all sides. What is the total area of the deck?

• 80 square meters

• 96 square meters

• 108 square meters

• 120 square meters

A rectangular classroom is 12 meters long and 9 meters wide. There is a square rug in the center of the room that measures 3 meters on each side. What is the area of the classroom that is not covered by the rug?

• 105 square meters

• 99 square meters

• 96 square meters

• 90 square meters

A park has a rectangular playground that is 20 meters long and 15 meters wide. There is a circular sandbox with a radius of 3 meters in one corner of the playground. What is the area of the playground that is not occupied by the sandbox?

• 250 square meters

• 280 square meters

• 300 square meters

• 271.73 square meters

A rectangular fish tank measures 1 meter by 0.5 meters. Inside the tank, there is a cylindrical decoration with a radius of 0.1 meters and a height of 0.5 meters. What is the area of the tank's bottom that is not covered by the decoration?

• 0.3 square meters

• 0.6 square meters

• 0.5 square meters

• 0.4686 square meters

A rectangular field is 30 meters long and 20 meters wide. A circular fountain with a radius of 2 meters is located in the center of the field. Calculate the area of the field that is not taken up by the fountain.

• 587.43 square meters

• 580 square meters

• 600 square meters

• 500 square meters

A rectangular pizza has a length of 12 inches and a width of 10 inches. If a circular pizza cutter with a radius of 3 inches is used to cut out a piece, what is the area of the pizza that remains?

• 85 square inches

• 91.73 square inches

• 100 square inches

• 95 square inches

A rectangular art canvas measures 24 inches by 18 inches. A circular painting with a radius of 6 inches is placed in the center of the canvas. What is the area of the canvas that is not covered by the painting?

• 250 square inches

• 400 square inches

• 180 square inches

• 318.96 square inches

Tags

CCSS.7.G.B.4

A rectangular room is 14 feet long and 10 feet wide. A square table with a side length of 4 feet is placed in the center of the room. What is the area of the room that is not occupied by the table?

• 124 square feet

• 110 square feet

• 130 square feet

• 100 square feet

A rectangular plot of land measures 50 meters by 30 meters. There is a triangular garden in one corner of the plot with a base of 10 meters and a height of 5 meters. What is the area of the plot that is not taken up by the garden?

• 1475 square meters

• 1600 square meters

• 1300 square meters

• 1500 square meters

Tags

CCSS.6.G.A.1