Question

find the perimeter of the figure below. notice that one side length is not given.
assume that all intersecting sides meet at right angles.
be sure to include the correct unit in your answer.
6 cm
14 cm
10 cm
5 cm
16 cm

Explanation:

Step1: Find the missing vertical side length

Since all intersecting sides meet at right angles, the missing vertical side length is \(14 - 5=9\) cm.

Step2: Calculate the perimeter

The perimeter of a polygon is the sum of all its side lengths.
The sum of the horizontal side lengths: \(6 + 10+18 = 34\) cm.
The sum of the vertical side lengths: \(14+9 + 5=28\) cm.
The perimeter \(P=(34 + 28)\times2\) (using the property that for a shape with right - angled intersections, we can pair up horizontal and vertical sides similar to a rectangle perimeter formula in a sense).

$$P=(34 + 28)\times2=62\times2 = 60$$

Answer:

\(60\) cm