In the figure below, all line segments are either horizontal or vertical

In the figure below, all line segments are either horizontal or vertical and the dimensions given are in inches. What is the perimeter, in inches, of the figure?

  1. 10
  2. 12
  3. 13
  4. 14
  5. 16

Answer

The correct answer is D.

This geometric figure has six sides, but you are only given the length of four of those sides.

The bottom of this rectangle is 4 inches long, and the right side is 3 inches long. So, the left side is 3 inches long because it is the same length as the vertical sides on the right.

The last unknown side is 1 inch long because it is the difference between the horizontal 4-inch side on the bottom and the horizontal 3-inch side on the top. 

Then, the perimeter (going clockwise) is 4 + 3 + 3 + 2 + 1 + 1 = 14 inches.