Area of Irregular Figures Worksheet
Calculate the area of various irregular figures by decomposing them into simpler geometric shapes.
Includes
Standards
Topics
Area of Irregular Figures
Name:
Date:
Score:
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?
80 sq ft
88 sq ft
104 sq ft
112 sq ft
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.