Composite Area Practice

Composite Area Practice

Read each question carefully and calculate the composite area of the given figures. Show all your work.

1. Calculate the area of the figure below, which consists of a rectangle and a semicircle. The rectangle has a length of 10 cm and a width of 6 cm. The semicircle is attached to one of the 6 cm sides.

2. A composite shape is made up of a square with side length 8 meters and an equilateral triangle attached to one of its sides. Find the total area of the composite shape.

3. A rectangular garden has dimensions 12 feet by 8 feet. A circular pond with a radius of 3 feet is located in the center of the garden. What is the area of the garden NOT covered by the pond? (Use π ≈ 3.14)

4. To find the area of a composite figure, you typically   the areas of its simpler shapes or   the area of a removed shape from a larger one.

5. The area of a figure formed by a rectangle with a triangle removed from one side can be found by adding the area of the rectangle and the area of the triangle.

6. A metal plate is shaped like a large rectangle with dimensions 20 cm by 15 cm. Two identical square holes, each with side length 3 cm, are cut out from the plate. What is the area of the remaining metal plate?