Question

find the missing side length.
assume that all intersecting sides meet at right angles.
include the correct unit in your answer.
9 yd
5 yd
8 yd
4 yd
15 yd

Explanation:

Step1: Analyze vertical sides

Since all intersecting sides meet at right angles, the sum of vertical segments on the right should equal the left - hand side length. The left - hand side length is \(9\) yd. One of the right - hand vertical segments is \(4\) yd. Let's first find the length of the vertical segment adjacent to the unknown horizontal segment. It is \(9 - 4=5\) yd.

Step2: Analyze horizontal sides

The sum of horizontal segments on the top should equal the bottom - side length. The bottom - side length is \(15\) yd. One of the top - hand horizontal segments is \(8\) yd. Let the unknown horizontal segment be \(x\). Using the fact that the sum of horizontal lengths (top) equals the horizontal length (bottom), we have \(x + 8=15\).

Answer:

\(7\) yd