Question

What is the perimeter of this polygon? Round your answer to the nearest
tenth

Answer 1

A) 21.6 units

Explanation:

Use the distance formula for each length:

`d=√((x_2-x_1)^2+(y_2-y_1)^2)\\\\d=√((-4-2)^2+(0-3)^2)\\d=√(36+9)\\d=√(45)\\\\ d=√((2-4)^2+(3-0)^2)\\d=√(4+9)\\d=√(13)\\\\d=√((4-0)^2+(0--4)^2)\\d=√(16+16)\\d=√(32)\\\\d=√((0--4)^2+(-4-0)^2)\\d=√(16+16)\\d=√(32)\\\\p=√(45)+√(13)+√(32)+√(32)=21.62746371`

This means that option A is the closest answer

Answer 2

A

Explanation:

pythagorean theorem

A^2+B^2=C^2 do that for all sides then add