Can You Find the Area of Shaded Regions?

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Questions and Answers

True or false: The formula to find the area of the shaded region is: area of inner shape - area of outer shape.

False (B)

True or false: The area of a hexagon can be found using the formula A=(L^2n)/(4tan(180/n)).

True (A)

True or false: The formula to find the area of a rectangle is bh.

False (B)

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Study Notes

  • The area of the shaded region is found by subtracting the area of the unshaded region from the total area of the polygon.
  • This applies to polygons with shaded regions in the center or on the sides.
  • The formula to find the area of the shaded region is: area of outer shape - area of unshaded inner shape.
  • Examples are provided for finding the area of shaded regions in triangles, rectangles, squares, and composite shapes.
  • To find the area of a triangle, use the formula 1/2bh.
  • To find the area of a rectangle, use the formula lw.
  • To find the area of a square, use the formula s^2.
  • Similar triangles can be used to find missing measurements.
  • The area of a hexagon can be found using the formula A=(L^2n)/(4tan(180/n)).
  • The key steps to finding the area of the shaded region are identifying the outer and inner shapes and applying the appropriate formula.

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