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

  1. 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 100 meters. Homework Help ✎

    1. Label all sides.

    2. Find y in terms of x.

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

2y + 3x = 100
2y = 100 − 3x

Areatotal = Arearectangle + Areatriangle

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