Question

find the missing side length. assume that all intersecting sides meet at right angles. include the correct unit in your answer. image of a composite rectangle with labeled sides: 5 cm, 9 cm, 15 cm, 7 cm, 14 cm, and a missing side labeled?

Explanation:

Step1: Analyze vertical sides

The total vertical length is 15 cm, and one part is 7 cm. Let the missing length be \( x \). So, \( x + 7 = 15 \).

Step2: Solve for \( x \)

Subtract 7 from both sides: \( x = 15 - 7 = 8 \) cm. Also, we can check horizontally: the bottom base is 14 cm, and the sum of 9 cm and 5 cm is \( 9 + 5 = 14 \) cm, which confirms the figure's consistency. The vertical missing side is \( 15 - 7 = 8 \) cm.

Answer:

8 cm