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

Answer:

D

Step-by-step 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

$\sqrt{ {2}^{2} + {4}^{2} } = 2 \sqrt{5} \\ \sqrt{ {3}^{2} + {1}^{2} } = \sqrt{10} \\ 20 + \sqrt{10} + 2 \sqrt{5} = 27.63441362$

So to three decimal places it would be;

$27.634$