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Home > GC > Chapter 6 > Lesson 6.2.1 > Problem 6-45

6-45.

The shaded figures below are similar. Homework Help ✎

diagram

  1. Solve for and .

    Use the proportion  to find .

    Then write another portion for .

  2. Find the area and perimeter of each figure

    Can you use the dotted lines to make right triangles so that you can solve for the lengths of the unknown sides?

    Perimeter of smaller figure =  cm

    area of rectangle: cm²

    area of top triangle:  cm²

    area of bottom triangle:  cm²

    area of shaded region =
    rectangle − top triangle − bottom triangle