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Compute the perimeter of the rectangle using the distance formula. (round to the nearest integer)

A33
B34
C38
D45

Please explain how you got your answer. It would really help me! Thank you!:)

Compute the perimeter of the rectangle using the distance formula. (round to the nearest integer) A) 33 B) 34 C) 38 D) 45 Please explain how you got your answer class=

Verified Answer :

MathisLif3

you have to take the sum of the distance between each point. It doesn't matter what order you use just keep it consistent, the shortest distance between any 2 points in the plane is a straight line.

bcalle

The answer is D 45.
Using the distance formula and the ordered pairs (1,8) & (4,5) for the short side and ((4,5) & (17,18) for the long side.
sqrt [(x2-x2)^2 + (y2-y1)^2]
sqrt [(4-1)^2 + (5-8)^2] = sqrt [ 9 + 9 ] = sqrt (18) (short side)
sqrt [(17-4)^2 + (18-5)^1 = sqrt [169 + 169] = sqrt (338) long side
P = 2L + 2W
P = 2sqrt18 + 2sqrt 338 = 45.25 = 45


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