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Sunday, December 28, 2014

Square, Rectangle, and Parallelogram Problems, 15

Category: Plane Geometry

"Published in Vacaville, California, USA"

A rectangular parcel of land is 50 ft wide. The length of a diagonal between opposite corners is 10 ft more than the length of the parcel. What is the length of the parcel?

Solution:

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

Photo by Math Principles in Everyday Life

If a rectangle is cut by its diagonal, then the resulting figure is a pair of right triangles. By Pythagorean Theorem, we can solve for the value of x as follows






Therefore, the length of a rectangular parcel of land is 120 ft.