Question

perimeter = 34
length of missing side l =
(there is a square - shaped figure with one side labeled 8 and the other side labeled l, and some hand - drawn marks around it.)

Explanation:

Step1: Identify the shape (rectangle)

The figure is a rectangle, so perimeter formula is \( P = 2\times(\text{length} + \text{width}) \). Given one side (width) is 8, let length be \( L \), perimeter \( P = 34 \).

Step2: Substitute into perimeter formula

\( 34 = 2\times(L + 8) \)

Step3: Solve for \( L \)

Divide both sides by 2: \( \frac{34}{2}=L + 8 \) → \( 17 = L + 8 \)
Subtract 8: \( L = 17 - 8 = 9 \)

Answer:

\( L = 9 \)