Area of Irregular Shapes - Grade 7 Math
Calculate the area of various irregular shapes by decomposing them into simpler geometric figures. This worksheet aligns with Grade 7 geometry standards.
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Area of Irregular Shapes
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Read each question carefully and calculate the area of the irregular shapes. Show your work for full credit. Remember to break down complex shapes into simpler ones like rectangles, squares, and triangles.
1. Find the area of the irregular shape below. All angles are right angles. Dimensions are in cm.
Show your work:
Area: cm²
2. Calculate the area of the L-shaped figure. All angles are right angles. Dimensions are in meters.
The shape can be divided into two rectangles. Area of Rectangle 1 = m².
Area of Rectangle 2 = m².
Total Area = m².
3. A garden plot is shaped like a rectangle with a semi-circle attached to one of its longer sides. The rectangular part is 10 feet long and 6 feet wide. Calculate the total area of the garden. Use π ≈ 3.14.
Show your calculations:
Total Area: ft²
4. Which of the following formulas would you use to find the area of a shape composed of a rectangle and a triangle?
Area = (length × width) + (π × radius²)
Area = (length × width) + (½ × base × height)
Area = (side × side) + (length × width)
Area = (base × height) - (length × width)
5. A floor plan of a room is shown below. All dimensions are in feet and all angles are right angles. Determine the total area of the room.
Decompose the shape and show your steps:
Total Area: ft²