An ant stands at one vertex of a rectangle sheet of paper. The ant then proceeds to walk all the way around the perimeter of the paper. The dimensions of the sheet of paper are 3 5/8 inches by 2 7/8 inches. How many inches does the ant travel? Show your work.

Answer 1

To find the perimeter of the rectangle, we add up the lengths of all four sides.

The length of the rectangle is 3 5/8 inches, or $\frac{29}{8}$ inches.

The width of the rectangle is 2 7/8 inches, or $\frac{23}{8}$ inches.

The perimeter is then $2\left(\frac{29}{8}\right) + 2\left(\frac{23}{8}\right) = \frac{58}{8} + \frac{46}{8} = \frac{104}{8} = \boxed{13}$ inches.