Question #d360b

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Answer 1 · 2017-12-12T22:39:01

#30.44#

Remember, to find the length between two sides, you use the formula:
#sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2)#

Therefore...

1) Find the length of side #AB#
#sqrt((-3-(-6))^2 + (6 - (-4))^2) = sqrt(109)#

2) Find the length of #BC#
#sqrt((4-(-3))^2 + (0 - 6)^2) = sqrt(85)#

3) Find the length of #CD#
#sqrt((2 - 4)^2 + (-1 - 0)^2) = sqrt(5)#

4) Find the length of #AD#
#sqrt((2 - (-6))^2 + (-1 - (-4))^2) = sqrt(73)#

5) Add up all of the lengths
#sqrt(109) + sqrt(85) + sqrt(5) + sqrt(73) = 30.44#

Hope that makes sense!