What is the best approximation for the perimeter of polygon ABCDE? A. 11.0 units B. 17.0 units C. 24.3 units D. 22.1 units
2 answers:
TheThe best approximation for the perimeter of polygon ABCDE is: C. 24.3 units.
<h3>Perimeter of polygon</h3>Coordinate:
A=(-2,3)
B=(0,6)
C=(5,4)
D=(4,-1)
E=(-1,-2)
Distance AB=√(0+2)²+(6-3)²
Distance AB=√4+9
Distance AB=√13
Distance BC=√(5-0)²+(4-6)²
Distance BC=√25+4
Distance BC=√29
Distance CD=√(4-5)²+(-1-4)²
Distance CD=√1+25
Distance CD=√26
Distance DE=√(-1-4)²+(-2+1)²
Distance DE=√25+1
Distance DE=√26
Distance EA=√(-2+1)²+(3+2)²
Distance EA=√1+25
Distance EA=√26
Perimeter of pathogen ABCDE
=AB+BC+CD+DE+EA
=√13+√29+√26+√26+√26
=√13+√29+3√26
=24.2877 units
= 24.3 units (Approximately)
Therefore the correct option is C.
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