Question

find the missing side length. assume that all intersecting sides meet at right angles. include the correct unit in your answer.

Explanation:

Step1: Analyze vertical side - lengths

The total vertical length on the right is 14 cm. The vertical length on the left - hand side is composed of two parts: 6 cm and 8 cm.

Step2: Analyze horizontal side - lengths

The total horizontal length at the bottom is 9 cm. The horizontal length on the upper - left part is 5 cm. Let the missing horizontal side length be $x$.
We know that for horizontal sides, since all sides meet at right - angles, the sum of horizontal lengths on the left must equal the horizontal length on the right. So, $x+5 = 9$.

Step3: Solve for the missing side

Subtract 5 from both sides of the equation $x + 5=9$. We get $x=9 - 5$.
$x = 4$ cm.

Answer:

4 cm