Writing Algebraic Expressions

Practice writing Algebraic expressions to represent the area of triangles to find the area of the shaded region.

Finding the area of a shaded region involves subtracting the area of one or more non-shaded regions from the total area of the figure. The specific method depends on the type of figure you're dealing with. Here are some common examples:

  1. Rectangles and Squares:

    • If you have a rectangle or square with a smaller shaded rectangle or square inside it, you find the area of the shaded region by subtracting the smaller area from the larger one.
     

    Shaded Area = Total Area - Unshaded Area

  2. Circles:

    • If you have a circle with a smaller circle inside it or a sector missing, find the area of the smaller circle or sector and subtract it from the area of the larger circle.
     

    Shaded Area = Total Area - Unshaded Area

  3. Triangles:

    • For triangles, the shaded region is often found by subtracting the area of a smaller triangle or other shapes from the total area of the larger triangle.
     

    Shaded Area = Total Area - Unshaded Area

  4. Composite Figures:

    • If you have a complex figure made up of different shapes, break it down into simpler shapes, find the area of each, and then sum or subtract them to find the total shaded area.
     

    Shaded Area = Total Area - Unshaded Area(s)

Always make sure to carefully identify the shapes involved and use the appropriate formulas for finding their areas. If you provide a specific figure or scenario, I can offer more detailed guidance.

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