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Find the area and perimeter of each shape below. Show your steps and work. Note: Diagrams are not drawn to scale.  

  1. A 6 sided polygon, divided by a horizontal line, from the left to the right vertex, sides labeled, starting at the top, horizontal side: 30, 13, 13, unknown, 13 13. Dashed line segment, labeled 5, from the top left vertex, perpendicular to the center line, creates triangle, with horizontal side labeled, 12. The same triangle is formed on the the right top side, and on the left bottom side.

    Perimeter: Add the lengths of each of the sides around the outside of the figure.


    The shape consists of two trapezoids of equal size. Find the area of one trapezoid and double it to find the area of the entire shape.

    The area of a trapezoid can be found with the following formula:

    square units

  1. A right trapezoid with the long  base on top.  A small rectangle is removed from the lower base within the trapezoid. Measurements are as follows going clockwise from the upper left corner: 80 to the right, 50 diagonally downward to the left. 12 left, 5 up, 8 left, 5 down, 12 left, 14 up to enclose the trapezoid.

    You can use the equation for the area of a trapezoid to find the total area.

    The trapezoid is highlighted.
    Notice that there is a rectangular section missing from the trapezoid.
    You will need to find that area as well.

    The figure for the problem is all shaded including the cut out small rectangle and outer edge is highlighted.

    sq. units.