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find the missing side length. assume that all intersecting sides meet a…

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 - hand side is 14 cm. The sum of the two known vertical lengths on the left - hand side is \(6 + 8=14\) cm.

Step2: Analyze horizontal side - lengths

The sum of the known horizontal lengths on the bottom and the middle part is \(9 + 5\) cm. Let the missing horizontal side - length be \(x\). Since all sides meet at right angles, the sum of horizontal lengths on one side must equal the sum of horizontal lengths on the other side. So \(x=9 + 5=14\) cm.

Answer:

14 cm