Area of Complex Figures - Grade 12 Math

Area of Complex Figures

Carefully read each question and calculate the area of the complex figures. Show all your work and include appropriate units in your final answers.

1. Find the area of the figure composed of a rectangle with length 10 cm and width 6 cm, and a semicircle attached to one of the 6 cm sides. (Use π ≈ 3.14)

2. A composite figure is made of a square with side length 8 units and four identical equilateral triangles attached to each side. The total area of this figure is   square units. (Round to two decimal places if necessary)

3. A rectangular swimming pool is 20 meters long and 10 meters wide. There is a semicircular section added to one of the 10-meter sides. What is the approximate total area of the pool? (Use π ≈ 3.14)

4. A garden is shaped like a large rectangle with dimensions 15 ft by 8 ft. Inside this rectangle, there is a circular flower bed with a radius of 3 ft. What is the area of the garden NOT covered by the flower bed? (Use π ≈ 3.14)

5. The area of a figure composed of a square of side 5 cm and an isosceles triangle with base 5 cm and height 4 cm (attached to one side of the square) is 35 cm².