Question

Find the perimeter of the polygon. Round your answer to the nearest tenth.

Answer 1

The perimeter of the polygon is 26.1 units.

To find the perimeter of the polygon.

What is polygon?

A polygon is a two-dimensional geometric figure that has a finite number of sides. The sides of a polygon are made of straight line segments connected to each other end to end. Thus, the line segments of a polygon are called sides or edges.

Given that:

Distance between points $(x_{1} ,y_{1} )$ , $(x_{2} ,y_{2} )$  is given by

$\sqrt{(x_{2} -x_{1} )^{2}+(y_{2} -y_{1} )^{2} }$

As per the graph,

point Q is (2,0)

point R is (4,5)

point S is (8,7)

point T is (6,4)

point U is (10,3)

QR=$\sqrt{(4 -2 )^{2}+(5 -0 )^{2} }=\sqrt{4+25} =\sqrt{29}$$=5.38 units$

RS=$\sqrt{(8 -4 )^{2}+(7 -5 )^{2} }=\sqrt{16+4} =\sqrt{20}$$=4.47 units$

ST=$\sqrt{(6 -8 )^{2}+(4 -7)^{2} }=\sqrt{4+9} =\sqrt{13}$$=3.60 units$

TU=$\sqrt{(10 -6 )^{2}+(3 -4 )^{2} }=\sqrt{16+1} =\sqrt{17}$$=4.12 units$

QU=$\sqrt{(10 -2 )^{2}+(3 -0 )^{2} }=\sqrt{64+9} =\sqrt{73}=8.54 units$

Perimeter refers to sum of lengths of all the sides.

Perimeter =5.38+4.47+3.60+4.12+8.54=26.1 units

So. the perimeter of the polygon is 26.1 units.

Learn more about polygon here:

brainly.com/question/28193374

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