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How to Solve Composite Figures

Composite figures are any geometric shape that can be divided into two or more basic geometric shapes, such as right triangles and squares. Another way to think of composite figures is to visualize two shapes that share one or more sides. To find the total area of a composite figure, you must find the individual areas of each shape and then add them together.

Instructions

    • 1

      Draw the composite figure. A simple example of a composite figure is a to draw a right triangle. Label the side measurements 3, 4 and 5. Draw a square outside the right triangle, so that the shortest leg (of the triangle) is one side of the square. The square should have side lengths of 3.

    • 2

      Draw a line to separate the individual shapes. You should have one square and one triangle.

    • 3

      Calculate the individual areas. First calculate the area of the triangle, using the formula: A = 1/2bh, where "b" and "h" refer to base and height, respectively. The area of the triangle is 6 units squared. Next calculate the area of the square, using the formula: x^2, where "x" is a side length. The area of the square is 9 units squared.

    • 4

      Add the individual areas together. 9 + 6 = 15 units squared. This is the total area of the composite figure.

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