Question

find the missing side length. assume that all intersecting sides meet at right angles. include the correct unit in your answer. 14 yd 4 yd ? 16 yd 12 yd 6 yd

Explanation:

Step1: Analyze vertical side - lengths

The total vertical length on the left is 16 yd and the vertical length on the right - hand part of the figure (excluding the unknown part) is 12 yd. Since all sides meet at right - angles, the vertical lengths on the left and right must be equal in a decomposed sense.

Step2: Calculate the missing horizontal side

The horizontal side of length 14 yd and the missing horizontal side together should balance the horizontal lengths on the other side. But we can also use the vertical side - length relationship. The difference in vertical side - lengths gives us the length of the missing horizontal side. The difference between the total vertical length (16 yd) and the known vertical length on the right (12 yd) is the same as the length of the missing horizontal side.
16−12 = 4 yd

Answer:

4 yd