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To solve for the unknown side \( x \), we will first understand the perimeter of the shape. The perimeter is the sum of all sides. The given values are:

- Left side: 16 mm
- Top left side: 8 mm
- Top unknown side: \( x \) mm
- Right side: 11 mm
- Bottom side: 14 mm

The perimeter is given as 59 mm. Thus, we can form the following equation for the perimeter:

\[
\text{Perimeter} = 16 + 8 + x + 11 + 14 = 59
\]

Simplifying the known values:

\[
49 + x = 59
\]

Now, solving for \( x \):

\[
x = 59 - 49 = 10
\]

Thus, the unknown side \( x \) is 10 mm.

Would you like more details or have any questions?

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Here are 5 related questions for further practice:

1. How would you calculate the area of this figure?
2. What if the perimeter was 65 mm? What would the unknown side be then?
3. How would the perimeter change if the bottom side was increased by 5 mm?
4. Can the perimeter of this shape ever be less than the sum of two adjacent sides? Why or why not?
5. How would the problem change if the unknown side was diagonal instead of straight?

**Tip**: Always break complex shapes into smaller sections when calculating perimeter or area!

How long is the unknown side of this figure if the perimeter is 59 mm?

Learn how to calculate the unknown side of a polygon given its perimeter and side lengths. This step-by-step solution demonstrates how to apply the perimeter formula and algebra to solve for the unknown side. Suitable for students in Grades 5-7.

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