Area of Irregular Shapes - Grade 12 Math
This worksheet focuses on calculating the area of irregular shapes, including those on a coordinate plane, by decomposition and using geometric formulas.
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Area of Irregular Shapes
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Read each question carefully and show all your work. Decompose irregular shapes into simpler geometric figures to find their areas. For shapes on a coordinate plane, use appropriate formulas.
1. Calculate the area of the irregular shape shown below. All angles are right angles. Dimensions are in centimeters.
2. Find the area of the polygon with vertices A(1,1), B(4,1), C(4,5), D(2,5), and E(2,3).
3. To find the area of an irregular polygon, one common strategy is to it into simpler shapes like rectangles and triangles.
4. The formula for the area of a trapezoid is A = 0.5 * (b1 + b2) * .
5. Which of the following methods is NOT typically used to find the area of an irregular shape?
Decomposition into squares and triangles
Using the shoelace formula for coordinates
Measuring the perimeter and squaring it
Subtracting the area of 'missing' parts from a larger rectangle
6. A park has the shape of a rectangle with a semi-circle attached to one of its longer sides. The rectangle is 50 meters long and 30 meters wide. Calculate the total area of the park. Use π ≈ 3.14.