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Home > CCG > Chapter 7 > Lesson 7.2.6 > Problem 7-114


After finding out that her kitchen does not conform to industry standards, Lashayia is back to the drawing board (see problem 7-84). Where can she locate her sink along her top counter so that its distance from the stove and refrigerator is as small as possible? And will this location keep her perimeter below feet? Show all work.  

The back counter is 11 feet long. The left counter is 6 feet from the back to the refrigerator. The right counter is 3 feet from the back to the stove.

This problem is similar to the Interior Design problem from Lesson 7.1.3. How did you find the solution for that problem?

For the shortest possible distance, the two right triangles should be similar.

Set up equivalent ratios of corresponding sides: Remember the side that is length , can be split into two lengths and .

Solve for .