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6-15.

First pentagonal shape, draw, left, 6, down, 4, right 10, up, 12, and diagonal downward to the start to enclose the figure. The second pentagonal shape,  draw, left, 15, down, 10, right, x, up, 30, and diagonal downward to the start to enclose the figure.The two shapes at right are similar.  

  1. Find the value of . Show all work.

    Set up a proportion to find the value of .

  2. Find the area of each shape.

    Divide each shape into smaller, easier shapes to find the area.

    A rectangle with a right triangle placed flush on the top right edge with a base less than half of the rectangle's base.

    area of smaller figure:
    area of larger figure: