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Home > PC > Chapter 9 > Lesson 9.2.2 > Problem 9-87

9-87.

A farmer with an eye for the unusual has decided to build a pentagonal enclosure whose shape will be a rectangle with an equilateral triangle sitting on top of it. (See figure at right.) The perimeter is meters.

  1. Label all sides.

  2. Find y in terms of .


  3. Find the area of the figure as a function of .

    To find the area of the triangle, drop an altitude forming two congruent triangles. The diagonal will be ''.

    Use the Pythagorean Theorem to find the height. The area will be .