Question

find the perimeter of (distance around) the figure.
image of a pentagon with each side labeled (1\frac{7}{8}) yd
the perimeter of the figure is (square) yd.
(simplify your answer. type a mixed numeral, if possible. otherwise, type a whole number or a fraction.)

Explanation:

Step1: Identify the side length and number of sides

The figure is a pentagon (5 sides) with each side length \(1\frac{7}{8}\) yd.

Step2: Convert mixed number to improper fraction

\(1\frac{7}{8}=\frac{1\times8 + 7}{8}=\frac{15}{8}\)

Step3: Calculate perimeter (sum of all sides)

Perimeter \(= 5\times\frac{15}{8}=\frac{75}{8}\)

Step4: Convert improper fraction to mixed number

\(\frac{75}{8}=9\frac{3}{8}\)

Answer:

\(9\frac{3}{8}\)