Area Adventure: Combining Shapes in Grade 5 Challenges

A rectangular garden measures 10 meters by 5 meters. Next to it, there is a square patio with each side measuring 4 meters. What is the combined area of the garden and the patio?

• 66 square meters

• 40 square meters

• 70 square meters

• 50 square meters

A rectangular pool is 12 feet long and 8 feet wide. A deck that is 3 feet wide surrounds the pool on all sides. What is the total area of the pool and the deck combined?

• 300 sq ft

• 180 sq ft

• 240 sq ft

• 252 sq ft

A classroom has a carpet that is 15 feet long and 10 feet wide. There is also a rug in the center of the carpet that is 4 feet long and 4 feet wide. What is the area of the carpet that is not covered by the rug?

• 120 square feet

• 150 square feet

• 100 square feet

• 134 square feet

A rectangular field is 20 meters long and 15 meters wide. A smaller rectangular area of 5 meters by 3 meters is fenced off for a dog park. What is the area of the field that is not part of the dog park?

• 285 square meters

• 250 square meters

• 300 square meters

• 275 square meters

A rectangular tablecloth is 6 feet by 4 feet. If a round table with a diameter of 3 feet is placed on top of it, what is the area of the tablecloth that is not covered by the table?

• 20.75 sq ft

• 10.2 sq ft

• 16.93 sq ft

• 12.5 sq ft

A rectangular swimming pool is 25 feet long and 10 feet wide. A surrounding walkway that is 2 feet wide goes around the pool. What is the total area of the pool and the walkway combined?

• 300 square feet

• 406 square feet

• 375 square feet

• 450 square feet

A rectangular garden bed is 8 feet by 3 feet. Next to it, there is a circular flower bed with a radius of 2 feet. What is the combined area of both garden beds?

• 30 + 3π square feet (approximately 39.42 square feet)

• 24 + 4π square feet (approximately 36.57 square feet)

• 16 + 5π square feet (approximately 36.70 square feet)

• 20 + 2π square feet (approximately 26.28 square feet)

A rectangular room is 12 feet by 10 feet. A closet that is 3 feet by 4 feet is built into one corner. What is the area of the room that is not occupied by the closet?

• 110 square feet

• 95 square feet

• 108 square feet

• 100 square feet

A rectangular parking lot is 50 meters long and 30 meters wide. A small area of 10 meters by 5 meters is reserved for bicycles. What is the area of the parking lot that is not reserved for bicycles?

• 1500 square meters

• 1300 square meters

• 1400 square meters

• 1450 square meters

A rectangular art canvas measures 24 inches by 18 inches. A frame that is 2 inches wide surrounds the canvas. What is the total area of the canvas and the frame combined?

• 480 square inches

• 616 square inches

• 500 square inches

• 600 square inches