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find the perimeter of a quadrilateral with vertices at c (−2, 1), d (2, 4), e (5, 0), and f (1, −3). round your answer to the nearest hundredth when necessary.

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Question 983842: Find the perimeter of a quadrilateral with vertices at C (−1, 2), D (−2, −1), E (2, −2), and F (1, 1). Round your answer to the nearest hundredth when necessary.

Found 2 solutions by MathLover1, Alan3354:

Answer by MathLover1(15852)

(Show Source):

You can put this solution on YOUR website!

given:

C (

,

),

D (

,

),

E (

,

), and

F (

,

)

use the distance formula, then add all of the distances

the distance between points

C (

,

) and D (

,

) is

Solved by pluggable solver: Distance Formula to determine length on coordinate plane

The distance (d) between two points is given by the following formula:

Thus in our case, the required distance is

For more on this concept, refer to Distance formula.

the distance between points

E (

,

), and F (

,

)is

Solved by pluggable solver: Distance Formula to determine length on coordinate plane

The distance (d) between two points is given by the following formula:

Thus in our case, the required distance is

For more on this concept, refer to Distance formula.

the distance between points

C (

,

) and E (

,

) is

Solved by pluggable solver: Distance Formula to determine length on coordinate plane

The distance (d) between two points is given by the following formula:

Thus in our case, the required distance is

For more on this concept, refer to Distance formula.

the distance between points

D (

,

) and F (

,

) is

Solved by pluggable solver: Distance Formula to determine length on coordinate plane

The distance (d) between two points is given by the following formula:

Thus in our case, the required distance is

For more on this concept, refer to Distance formula.

so,

units

then,

(Show Source):

You can put this solution on YOUR website!

Find the lengths of the 4 sides.

CD, DE, EF and FC

Sum =~ 12.68 units

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: