Question

find the perimeter.
write your answer as a fraction or as a whole or mixed number.
kilometers

Explanation:

Step1: Recall perimeter of parallelogram

A parallelogram has two pairs of equal sides. So perimeter \( P = 2\times(\text{side}_1 + \text{side}_2) \). Here, sides are \( \frac{2}{5}\) km and \( \frac{1}{3}\) km.

Step2: Calculate sum of one pair

First, find \( \frac{2}{5}+\frac{1}{3} \). Find common denominator (15): \( \frac{2\times3}{5\times3}+\frac{1\times5}{3\times5}=\frac{6}{15}+\frac{5}{15}=\frac{11}{15} \).

Step3: Multiply by 2 for perimeter

Perimeter \( P = 2\times\frac{11}{15}=\frac{22}{15} \) (or \( 1\frac{7}{15} \)). Wait, alternatively, sum all sides: \( 2\times\frac{2}{5}+2\times\frac{1}{3} \). Calculate each term: \( 2\times\frac{2}{5}=\frac{4}{5} \), \( 2\times\frac{1}{3}=\frac{2}{3} \). Then add \( \frac{4}{5}+\frac{2}{3} \). Common denominator 15: \( \frac{12}{15}+\frac{10}{15}=\frac{22}{15} \).

Answer:

\(\frac{22}{15}\) (or \(1\frac{7}{15}\))