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4-41.

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, 156, down, 10, right, x, up, 30, and diagonal downward to the start to enclose the figure.The two polygons at right are similar.

  1. Determine the value of . Show all work.

    Set up a proportion to determine the value of .

  2. Calculate the area of each polygon.

    Divide each polygon into smaller, easier polygons, then calculate the areas.

    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: in²
    area of larger figure: in²