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Thursday, April 17, 2014

Trapezoid, Quadrilateral Problems

Category: Plane Geometry

"Published in Vacaville, California, USA"

The vertical end of a trough has the following dimensions: width at the top 4.4 ft., width at the bottom 3.2 ft., depth 3.5 ft. Find the area of the end of the trough.

Solution:

To illustrate the problem, it is better to draw the figure as follows

Photo by Math Principles in Everyday Life

From the description of the given word problem, the vertical end of a trough is a trapezoid. The area of a trapezoid is given by the formula


Substitute the values of h, b1 and b2 to the above equation, we have