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 is 15 cm. The sum of the two known vertical segments on the left is 7 cm and 8 cm.

Step2: Calculate the missing side

Since the vertical lengths on both sides of the figure must be equal (due to right - angled intersections), we subtract the sum of the known vertical segments on the left from the total vertical length on the right. So, the missing side length $x=15-(7 + 8)=0$ cm. But this is wrong. Let's consider horizontal sides. The total horizontal length at the bottom is 10 cm. The known horizontal segment at the top is 4 cm. So the missing horizontal side length is $10 - 4=6$ cm.

Answer:

6 cm