Composite Area: Rectangles & Triangles Challenge for 8th Graders

A rectangular garden measures 10 meters by 5 meters. A triangular flower bed with a base of 4 meters and a height of 3 meters is placed inside the garden. What is the total area of the garden that is not occupied by the flower bed?

• 30m²

• 50m²

• 44m²

• 20m²

A rectangular swimming pool is 12 meters long and 6 meters wide. There is a triangular diving area at one end with a base of 6 meters and a height of 4 meters. Calculate the total area of the pool and diving area combined.

• 84 square meters

• 60 square meters

• 90 square meters

• 72 square meters

A rectangular classroom is 8 meters by 6 meters. A triangular chalkboard with a base of 2 meters and a height of 1.5 meters is mounted on one wall. What is the area of the classroom that is not covered by the chalkboard?

• 45 square meters

• 46.5 square meters

• 40 square meters

• 50 square meters

A park has a rectangular playground that is 15 meters long and 10 meters wide. There is a triangular sandbox with a base of 5 meters and a height of 3 meters. What is the area of the park that is not taken up by the sandbox?

• 150 square meters

• 135 square meters

• 142.5 square meters

• 120 square meters

A rectangular piece of land measures 20 meters by 10 meters. A triangular gazebo with a base of 6 meters and a height of 4 meters is built on it. What is the remaining area of the land after the gazebo is constructed?

• 200 square meters

• 188 square meters

• 180 square meters

• 150 square meters

A rectangular art gallery is 14 meters long and 8 meters wide. A triangular display area with a base of 5 meters and a height of 3 meters is set up inside. What is the area of the gallery that is not used for the display?

• 110 square meters

• 90 square meters

• 100 square meters

• 104.5 square meters

A rectangular driveway is 18 meters long and 4 meters wide. A triangular flower bed with a base of 3 meters and a height of 2 meters is located at one end. Calculate the area of the driveway that remains after accounting for the flower bed.

• 70 square meters

• 65 square meters

• 72 square meters

• 69 square meters

A rectangular sports field measures 30 meters by 20 meters. A triangular scoreboard with a base of 10 meters and a height of 5 meters is placed at one corner. What is the area of the field that is not occupied by the scoreboard?

• 500 square meters

• 600 square meters

• 575 square meters

• 550 square meters

A rectangular kitchen is 12 meters by 9 meters. A triangular dining area with a base of 4 meters and a height of 3 meters is part of the kitchen. What is the area of the kitchen that is not used for the dining area?

• 110 square meters

• 102 square meters

• 96 square meters

• 90 square meters

A rectangular parking lot is 25 meters long and 15 meters wide. A triangular landscaping area with a base of 8 meters and a height of 6 meters is included in the lot. What is the area of the parking lot that remains after the landscaping area is accounted for?

• 300 square meters

• 351 square meters

• 250 square meters

• 400 square meters