Area of Irregular Figures Worksheet

Area of Irregular Figures

Read each question carefully and follow the instructions. Show all your work for full credit. Remember to break down irregular figures into simpler shapes (rectangles, triangles, circles/semicircles) to calculate their total area.

1. Calculate the area of the figure shown below. All angles are right angles. Dimensions are in meters.

2. A swimming pool has the shape of a rectangle with a semi-circular end. The rectangular part is 12 meters long and 6 meters wide. The diameter of the semi-circular end is equal to the width of the rectangle. The total area of the swimming pool is approximately   square meters. (Use π ≈ 3.14)

3. Find the area of the shaded region in the figure below. The outer rectangle has dimensions 15 cm by 10 cm. The inner square has a side length of 5 cm.

4. A garden plot is shaped like a trapezoid with a triangular section removed from one side. The trapezoid has parallel sides of 10 ft and 16 ft, and a height of 8 ft. The removed triangular section has a base of 4 ft and a height of 8 ft. What is the area of the garden plot?

5. A complex figure is composed of a rectangle and two congruent triangles attached to opposite sides. The rectangle has a length of 20 cm and a width of 8 cm. Each triangle has a base equal to the width of the rectangle and a height of 6 cm. Calculate the total area of the figure.