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laiz [17]
3 years ago
11

Pi owns a cornfield and has placed fences around four polls, A, B, C, D that delimit the edges of the field. He needs to drive a

round the field every day to check whether anybody has tried to break in. The four poles are located at:
A (-2,1)
B (3,-11)
C (-2,-23)
D (-7,-11)

How many miles will pi drive if he starts at pole A and drives around the entire border of the field?

(please show the work)
Mathematics
1 answer:
olga2289 [7]3 years ago
8 0

Answer:

52 miles

Step-by-step explanation:

A to B:

sqrt( (3 - (-2))^2 + (-11 - 1)^2 )

sqrt( (5)^2 + (-12)^2 )

sqrt( 25 + 144 )

sqrt( 169 )

13

B to C:

sqrt( (-2 - 3)^2 + (-23 - (-11))^2 )

sqrt( (-5)^2 + (-12)^2 )

sqrt( 25 + 144 )

sqrt( 169 )

13

C to D:

sqrt( (-7 - (-2))^2 + (-11 - (-23))^2 )

sqrt( (-5)^2 + (12)^2 )

sqrt( 25 + 144 )

sqrt( 169 )

13

D to A:

sqrt( (-2 - (-7))^2 + (1 - (-11))^2 )

sqrt( (5)^2 + (12)^2 )

sqrt( 25 + 144 )

sqrt( 169 )

13

Adding:

13 + 13 + 13 + 13

52

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