Question

find the perimeter. write your answer as a fraction or as a whole or mixed number. \frac{2}{15} cm (with the parallelogram sides all labeled \frac{2}{15} cm) \square centimeters

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, both sides are \( \frac{2}{15} \) cm, so it's a rhombus (a type of parallelogram with all sides equal). So perimeter is sum of all four sides.

Step2: Calculate sum of four sides

Each side is \( \frac{2}{15} \) cm, and there are 4 sides. So perimeter \( P = 4\times\frac{2}{15} \).

Step3: Multiply the numbers

\( 4\times\frac{2}{15}=\frac{8}{15} \).

Answer:

\(\frac{8}{15}\)