Question

find the missing side length.
assume that all intersecting sides meet at right angles.
include the correct unit in your answer.
5 ft
10 ft
14 ft
6 ft
4 ft
?

Explanation:

Step1: Analyze the vertical sides

The total height of the figure is \(14\) ft. The sum of the vertical segments \(4\) ft and \(10\) ft is \(4 + 10=14\) ft (this is just to confirm the height relation). Now, for the horizontal sides.

Step2: Calculate the missing horizontal side

The sum of the horizontal segments on the top - part (\(5\) ft) and the middle - part (\(6\) ft) gives the missing side. Using the property that in a figure with right - angled intersections, the sum of horizontal segments on one side is equal to the sum on the other side. Let the missing side be \(x\). We know that \(x=5 + 6\)

Answer:

\(11\) ft