Question

martha likes to walk around a park near her house. the park is square, \\(\frac{7}{10}\\) mi on each side. one morning she walked around the park \\(3\frac{1}{2}\\) times before stopping to rest. how far had she walked? \\(\underline{\quad\quad}\\) mi

Explanation:

Step1: Find park perimeter

The perimeter of a square is $4 \times \text{side length}$.
$\text{Perimeter} = 4 \times \frac{7}{10} = \frac{28}{10} = \frac{14}{5}$ mi

Step2: Convert mixed number to fraction

$3\frac{1}{2} = \frac{7}{2}$

Step3: Calculate total distance

Multiply perimeter by number of laps.
$\text{Total Distance} = \frac{14}{5} \times \frac{7}{2} = \frac{98}{10} = \frac{49}{5}$

Step4: Simplify to mixed number

$\frac{49}{5} = 9\frac{4}{5}$

Answer:

$9\frac{4}{5}$ mi (or $\frac{49}{5}$ mi, or 9.8 mi)