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The diagram shows a quadrilateral with its sides labeled using mixed fractions. The task is to find the perimeter of the shape by summing the lengths of all the sides. Let's break down the given side lengths:

- Two sides are \(2 \frac{7}{15}\) cm.
- Two other sides are \(1 \frac{14}{15}\) cm.

### Step 1: Convert the mixed fractions into improper fractions.

- \(2 \frac{7}{15} = \frac{2 \times 15 + 7}{15} = \frac{37}{15}\)
- \(1 \frac{14}{15} = \frac{1 \times 15 + 14}{15} = \frac{29}{15}\)

### Step 2: Add the lengths of all sides for the perimeter.

The perimeter \(P\) is given by:
\[
P = 2 \times \left(\frac{37}{15}\right) + 2 \times \left(\frac{29}{15}\right)
\]

Let's calculate this now.The perimeter of the quadrilateral is \( \frac{44}{5} \) cm, which can also be written as a mixed number:

\[
\frac{44}{5} = 8 \frac{4}{5} \, \text{cm}
\]

Would you like further details or have any questions?

Here are 5 related questions for further practice:
1. How do you convert a mixed fraction to an improper fraction?
2. Can you calculate the perimeter if the side lengths are given as decimals?
3. How would the process change if the side lengths were in different units?
4. What is the difference between perimeter and area for a quadrilateral?
5. How do you calculate the perimeter of irregular quadrilaterals?

**Tip:** Always ensure all side lengths are in the same units before calculating the perimeter!

Find the perimeter of a quadrilateral with sides 2 7/15 cm and 1 14/15 cm.

Learn how to calculate the perimeter of a quadrilateral where sides are given as mixed fractions. Convert mixed fractions to improper fractions and sum the lengths to find the total perimeter. Suitable for students in Grades 7-9.

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