question\nthe perimeter of the figure below is 192.3 in. find the length of the missing side.\n(note…

question\nthe perimeter of the figure below is 192.3 in. find the length of the missing side.\n(note: diagram is not to scale)

question\nthe perimeter of the figure below is 192.3 in. find the length of the missing side.\n(note: diagram is not to scale)

Answer

Explanation:

Step1: Sum all known side lengths

First, count and add the given sides: There are 4 sides of 14.7 in, plus 14.1 in, 41.4 in, 12 in, 26.7 in, 28.8 in. Calculate the total: $4\times14.7 + 14.1 + 41.4 + 12 + 26.7 + 28.8$ $=58.8 + 14.1 + 41.4 + 12 + 26.7 + 28.8$ $=181.8$ in

Step2: Subtract sum from total perimeter

Perimeter is 192.3 in, so missing side = total perimeter - sum of known sides. $192.3 - 181.8 = 10.5$ in

Answer:

10.5 in