Grade 12 Composite Area Worksheet

Grade 12 Composite Area Worksheet

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

1. Find the area of the composite figure below, which consists of a semi-circle on top of a rectangle. The rectangle has a length of 10 cm and a width of 6 cm. The diameter of the semi-circle is equal to the width of the rectangle.

2. Calculate the area of the shaded region. The outer square has a side length of 12 meters, and the inner circle has a radius of 4 meters.

3. A composite shape is formed by joining a triangle with a base of 8 units and a height of 6 units, and a square with a side length of 5 units. If the base of the triangle is adjacent to one side of the square, the total area of this composite shape is   square units.

4. A garden is shaped like a rectangle with dimensions 15 ft by 20 ft, and it has a triangular section attached to one of its 15 ft sides. The triangular section has a base of 15 ft and a height of 8 ft. What is the total area of the garden?

5. A circular swimming pool with a radius of 5 meters is surrounded by a square patio. The side length of the square patio is 12 meters. What is the area of the patio only (excluding the pool)? Use \(\pi \approx 3.14\).