Question

Find the perimeter of the polygon with the vertices x(−1, 3), y(3, 0), and z(−1,−2). round your answer to the nearest hundredth.

Answer 1

Answer:

Perimeter = 10 + 2√5  = 14.47

Explanation:

Vertices X(−1, 3), Y(3, 0), and Z(−1,−2).

We have three points, We need to find out the distance between them.

we know that the formula to calculate the distance between two points.

D = √[(x₂-x₁)²+(y₂-y₁)²]

Distance between X & Y

XY = √[(3-(-1))²+(0-3)²] = √(16+9) = √25 = 5

Similarly,

YZ = 2√5

ZX = 5

XY  =5

Now find the perimeter

In order to find the perimeter, we will add all the sides together.

perimeter = XY + YZ + ZX

Perimeter = 5 + 2√5 + 5

Perimeter = 10 + 2√5 = 14.47