Question

find the perimeter. write your answer as a fraction or as a whole or mixed number. the figure is a trapezoid with the top base (\frac{1}{14}) mm, the two non - parallel sides each (\frac{1}{7}) mm, and the bottom base (\frac{3}{14}) mm. blank millimeters

Explanation:

Step1: Recall perimeter formula

Perimeter of a trapezoid (or any polygon) is the sum of all its side lengths. So we need to add \(\frac{1}{14}\), \(\frac{1}{7}\), \(\frac{3}{14}\), and \(\frac{1}{7}\).

Step2: Convert fractions to common denominator

The common denominator for 7 and 14 is 14. Convert \(\frac{1}{7}\) to fourteenths: \(\frac{1}{7}=\frac{1\times2}{7\times2}=\frac{2}{14}\). So the sides are \(\frac{1}{14}\), \(\frac{2}{14}\), \(\frac{3}{14}\), \(\frac{2}{14}\).

Step3: Add the fractions

Sum the numerators: \(1 + 2 + 3 + 2 = 8\). So the sum is \(\frac{8}{14}\), which simplifies to \(\frac{4}{7}\) (dividing numerator and denominator by 2).

Answer:

\(\frac{4}{7}\)