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.

Explanation:

Step1: Find the missing vertical side length

The vertical side - lengths on the left is 12 yd. The sum of the vertical side - lengths on the right should be equal to it. Since one of the right - hand vertical side lengths is 8 yd and the other is 4 yd, they already sum to 12 yd.

Step2: Find the missing horizontal side length

The horizontal side - length at the bottom is 16 yd. The sum of the horizontal side - lengths on the top should be equal to it. One of the top horizontal side lengths is 6 yd, so the missing horizontal side length is \(16 - 6=10\) yd.

Step3: Calculate the perimeter

The perimeter \(P\) of a polygon is the sum of all its side lengths.
\[P = 12+6 + 8+10+4+16\]
\[P=(12 + 8)+(6 + 10)+(4 + 16)\]
\[P = 20+16+20\]
\[P = 56\] yd

Answer:

56 yd