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 side is 16 yd. The sum of the two known vertical segments on the left is \(6 + 10=16\) yd.

Step2: Analyze horizontal side - lengths

The total horizontal length at the bottom is 9 yd. The known horizontal segment above is 5 yd. Let the missing horizontal side - length be \(x\). We know that the sum of horizontal lengths on one side must equal the sum of horizontal lengths on the other side. So \(x+5 = 9\).

Step3: Solve for the missing side - length

Subtract 5 from both sides of the equation \(x+5 = 9\). We get \(x=9 - 5\).
\(x = 4\) yd

Answer:

4 yd