Answer :
The perimeter of the polygon in the diagram above is 32.1 ( option A).
What is perimeter of shape?
The perimeter of a shape is the total length of its boundary or the sum of all its side lengths.
It is a measure of the outline of the shape and is calculated by adding the lengths of all its sides. Perimeter is expressed in linear units, such as centimeters or meters.
We need to find all the side lengths
AB = √2-(-4)² + 5-0)²
AB = √6² + 5²
AB = √36 + 25
AB = 7.81
BC = √10-5)² + 4-(-4)²
=√ 5² + 8²
= √25 + 64
= √89
= 9.43
CD = √ 10-7)² + 8-4)²
CD = √3² + 4²
CD = √9+16
CD = 5.00
DE = √7-5)² + 8-4)²
= √2² + 4²
= √20
= 4.47
AE = √ 5-0)² + 4-2)²
AE = √5² + 2²
AE = √25+4
= √29
= 5.39
Perimeter = 5.39 + 4.47 + 5.00 + 9.43 + 7.81
= 32.1
therefore the perimeter of the polygon is 32.1
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