Composite Area Challenge

Composite Area Challenge

Read each question carefully and calculate the composite area of the given shapes. Show your work for full credit.

1. Find the area of the following shape, which is composed 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 shape is made of a square with side length 8 meters and an equilateral triangle attached to one of its sides. The area of the square is   square meters, and the area of the equilateral triangle (with height approximately 6.93 meters) is   square meters. The total composite area is   square meters.

3. Calculate the area of the figure below, which consists of a large rectangle with a smaller rectangular hole cut out from its center. The outer rectangle measures 15 feet by 12 feet, and the inner rectangular hole measures 7 feet by 5 feet.

4. A composite shape is formed by a triangle and a square. The base of the triangle is 10 cm and its height is 8 cm. The square has a side length of 10 cm. What is the total area of the composite shape?

5. To find the composite area of two overlapping circles, you simply add the areas of both circles together.