Question

find the missing side length. assume that all intersecting sides meet at right angles. include the correct unit in your answer. 6 yd 5 yd? 9 yd 4 yd 14 yd

Explanation:

Step1: Analyze vertical side - lengths

The total vertical length on the left is 9 yd. The vertical lengths on the right are composed of two parts. One part is 5 yd and the other is the missing part and 4 yd. Since the vertical lengths on both sides must be equal (because of right - angled intersections), we can set up an equation.

Step2: Calculate the missing side

The total vertical length is 9 yd. We know one part is 5 + 4=9 yd. So the missing vertical side length is 9-(5 + 4)=0 yd. Analyzing horizontal side - lengths, the total horizontal length at the bottom is 14 yd. One horizontal part is 6 yd. Let the missing horizontal side be $x$. Then $6 + x=14$. Solving for $x$ gives $x = 14 - 6=8$ yd.

Answer:

8 yd