Can You Find the Area of Shaded Regions?

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3 Questions

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

False

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

True

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

False

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.

Master the art of finding the area of shaded regions with our quiz! From triangles to composite shapes, this quiz will test your knowledge on identifying the outer and inner shapes and applying the appropriate formula to find the area of the shaded region. Examples and formulas for various shapes are provided, and you'll even learn how to find the area of a hexagon. Sharpen your geometry skills and take on the challenge of this quiz!

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