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 left is 12 ft. The vertical length on the right part of the figure is composed of two segments with lengths 8 ft and 4 ft. Since all sides meet at right - angles, the vertical lengths on both sides of the figure must be equal in total.

Step2: Analyze horizontal side - lengths

The total horizontal length at the bottom is 15 ft. The horizontal length on the top part of the figure is 6 ft. Let the missing horizontal side - length be $x$. We know that the sum of horizontal lengths on the top must equal the sum of horizontal lengths on the bottom. So, $6 + x=15$.

Step3: Solve for the missing side - length

Subtract 6 from both sides of the equation $6 + x = 15$. We get $x=15 - 6=9$ ft.

Answer:

9 ft