Question

find the unknown side length. assume that all intersecting sides form right angles. include the correct units in your answer.

Explanation:

Step1: Analyze vertical side - lengths

Since all intersecting sides form right - angles, the sum of the vertical side - lengths on the left and right must be equal. The total vertical length on the left is 11 yd. The vertical length on the right has two parts: 4 yd and the unknown side.

Step2: Set up an equation

Let the unknown side length be $x$. We have the equation $11=4 + x$.

Step3: Solve for the unknown

Subtract 4 from both sides of the equation: $x=11 - 4$.
$x = 7$ yd

Answer:

7 yd