Real-World Composite Area Challenges for Grade 8

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 composite area of the garden excluding the flower bed?

• 25 square meters

• 50 square meters

• 40 square meters

• 37.43 square meters

A swimming pool is 15 meters long and 8 meters wide. There is a deck around the pool that is 2 meters wide on all sides. What is the total area of the pool and the deck combined?

• 200 square meters

• 250 square meters

• 228 square meters

• 180 square meters

A rectangular room is 12 feet by 10 feet. A square rug that is 4 feet on each side is placed in the center of the room. What is the area of the room that is not covered by the rug?

• 104 square feet

• 96 square feet

• 100 square feet

• 110 square feet

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 the playground. What is the area of the playground that is not occupied by the sandbox?

• 300 square meters

• 280 square meters

• 250 square meters

• 271.73 square meters

A rectangular fish tank measures 30 cm by 20 cm. A cylindrical filter with a radius of 5 cm and a height of 10 cm is placed inside the tank. What is the composite area of the tank's base excluding the area occupied by the filter?

• 521.46 cm²

• 600 cm²

• 450 cm²

• 350 cm²

A rectangular field is 50 meters long and 30 meters wide. A circular fountain with a diameter of 6 meters is located in the center of the field. Estimate the area of the field that is not taken up by the fountain.

• 1471.74 square meters

• 1600 square meters

• 1500 square meters

• 1450 square meters

A classroom has a rectangular area of 25 feet by 20 feet. A circular table with a diameter of 4 feet is placed in the center. What is the area of the classroom that remains clear?

• 487.43 square feet

• 300 square feet

• 500 square feet

• 400 square feet

A rectangular patio is 12 feet by 8 feet. A square table that is 3 feet on each side is placed on the patio. What is the area of the patio that is not covered by the table?

• 90 square feet

• 75 square feet

• 87 square feet

• 80 square feet

A rectangular lot measures 40 meters by 25 meters. A triangular garden with a base of 10 meters and a height of 5 meters is located in one corner of the lot. What is the remaining area of the lot after accounting for the garden?

• 800 square meters

• 950 square meters

• 975 square meters

• 1000 square meters

A rectangular sports field is 100 meters long and 60 meters wide. A circular track with a radius of 10 meters surrounds the field. What is the total area of the field and the track combined?

• 7853.98 square meters

• 5000 square meters

• 6000 square meters

• 6314.16 square meters