The graph shows the location of Derek's, Evan's, and Frank's houses. Each unit on the graph represents 1
block.
If Frank walks from his house to Derek's house, then on to Evan's house along the path shown, how far will he
have walked in blocks? Round your answer to the nearest hundredth. (4 points)
Answers
Given : location of Derek's, Evan's, and Frank's houses
Frank walks from his house to Derek's house, then on to Evan's house along the path shown,
To Find : how far will he have walked
Solution:
Frank position ( 5 , - 4 )
Derek position (- 3 , 4)
Evan Position ( - 3 , - 4)
Frank walks from his house to Derek's house, then on to Evan's house along the path shown
Distance between Frank and Derek house
= √(5 - (-3))² + (-4 - 4)²
= 8√2
Distance between Derek and Evan house
= √(-3 - (-3))² + (-4 - 4)²
= 8
Total Distance covered = 8√2 + 8
= 19.31
19.31 unit Distance Frank walked
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