Free counters!

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?


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.