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what is the perimeter of the vertices (1,4),(-1,-2),(2,0),(4,0) to the nearest hundredth

Sagot :

The Perimeter of the quadrilateral = 16.93 units

How to Find the Perimeter of a Quadrilateral?

The perimeter of the quadrilateral with the given vertices is the sum of the distance between every vertices.

Calculate the distance between the vertices using the distance formula, d = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex].

Name the vertices as shown below:

A(1,4)

B(-1,-2)

C(2,0)

D(4,0)

Distance between A and B:

AB = √[(−1−1)² + (−2−4)²]

AB = √(4 +36)

AB = 6.32 units

Distance between B and C:

BC = √[(−1−2)² + (−2−0)²]

BC = 3.61 units

Distance between C and D:

CD = √[(4−2)² + (0−0)²]

CD = 2 units

Distance between A and D:

AD = √[(4−1)² + (0−4)²]

AD = 5 units.

Perimeter of the quadrilateral = AB + BC + CD + AD = 6.32 + 3.61 + 2 + 5

Perimeter of the quadrilateral = 16.93 units

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