Question

find the missing side length. assume that all intersecting sides meet at right angles. include the correct unit in your answer. 13 yd 5 yd? 16 yd 11 yd 6 yd

Explanation:

Step1: Analyze vertical side - lengths relationship

The total vertical length on the left is 16 yd. The vertical length on the right - hand part of the figure has two parts, one is 11 yd and the other is 5 yd. Since all sides meet at right - angles, we can use the fact that the vertical lengths on both sides of the figure must be equal in sum.

Step2: Analyze horizontal side - lengths relationship

The total horizontal length at the top is 13 yd. Let the missing horizontal side - length be $x$. The horizontal lengths on the bottom part of the figure are 6 yd and the missing side $x$. We know that the sum of horizontal lengths on the top and bottom must be equal.
We have $13=6 + x$.

Step3: Solve for the missing side - length

Subtract 6 from both sides of the equation $13 = 6+x$.
$x=13 - 6$.
$x = 7$ yd.

Answer:

7 yd