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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

step-by-step explanation:

consider the parallelogram shown in the attached image.

in the parallelogram hijk, the length of hk is given as,

from the properties of parallelogram we know that the opposite sides of a parallelogram are parallel to each other and are equal in measure.

therefore, the length of the side ij must be equal to the length of the side hk and that is .

hence, the expression for the length of ij confirms that hijk is a parallelogram.

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