Question

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 is 9 cm and the part of the vertical length on the lower - part is 5 cm. The vertical length on the upper - part is 4 cm.

Step2: Analyze horizontal side - lengths

The total horizontal length on the top is 15 cm. The horizontal length on the lower - right part is 7 cm. Let the missing horizontal side - length be \(x\).
We know that the sum of horizontal lengths on the lower part should equal the horizontal length on the top part. So, \(x + 7=15\).

Step3: Solve for the missing side

Subtract 7 from both sides of the equation \(x + 7=15\). We get \(x=15 - 7\).
\(x = 8\) cm

Answer:

8 cm