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 ✎
Label all sides.
Find y in terms of x.
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'.