Find the perimeter of a quadrilateral with vertices at C (2, 4), D (1, 1), E (5, 0), and F (3, 4). Round your answer to the nearest hundredth when necessary. 12.76 units 16.25 units 20.12 units 24.85 units

12.76units

Step-by-step explanation:

Perimeter of the quadrilateral will be the all of all the sides of the quadrilateral.

To get the sides of the quadrilateral, we will use the formula for calculating the distance between two points given as:

D = √(x2-x1)²+(y2-y1)²

For |CD|

C = (2,4), D = (1,1)

|CD| = √(1-2)²+(1-4)²

|CD| = √1²+3²

|CD| = √10

For |DE|

D = (1,1), E = (5,0)

|DE| = √(5-1)²+(0-1)²

|DE| = √4²+1²

|DE| = √17

For |EF|

E = (5,0), F = (3,4)

|EF| = √(3-5)²+(4-0)²

|EF| = √2²+4²

|EF| = √20

For side |CF|

C (2,4) and F(3,4)

|CF| = √(3-2)²+(4-4)²

|CF| = √1²

|CF| = 1

perimeter of the quadrilateral = |CD|+|DE|+|EF|+|CF|

= √10+√17+√20+1

= 12.76units (to nearest hundredth)

12.76units

Step-by-step explanation:

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step-by-step explanation: