Question

What is the perimeter of the figure in the diagram (round to three decimal places if necessary)? A) 54.5 B) 42.634 C) 39.5 D) 27.634

Answer 1

D

Explanation:

First add all the simple line up so;

`8 + 7 + 3 + 2 = 20`

Then use Pythagoras to work out the lengths of the remaining lines

`\sqrt{ {2}^(2) + {4}^(2) } = 2 √(5) \\ \sqrt{ {3}^(2) + {1}^(2) } = √(10) \\ 20 + √(10) + 2 √(5) = 27.63441362`

So to three decimal places it would be;

`27.634`