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A park has the shape and dimensions, in miles, given below. The park office is located halfway between point A and point D. Which of the following is the location of the park office from point A? (Note: The park’s borders run east-west or north-south.)
  • a)
    3 miles east and miles north
  • b)
    miles east and 4 miles south
  • c)
    4 miles east and miles south
  • d)
    6 miles east and 4 miles south
  • e)
    6 miles east and miles south
Correct answer is option 'B'. Can you explain this answer?
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A park has the shape and dimensions, in miles, given below. The park o...
The correct answer is B. To find the location of the park office located halfway between points A and D, it makes sense to give coordinates to the points in relation to an origin (see diagram below).
In this case it makes sense to choose point F as the origin because it is in the bottom left of the figure.
The first coordinate is the number of miles east of the origin, and the second coordinate is the number of miles north of the origin.

The park office is at the midpoint of the segment AD, and so the midpoint formula applies. For points with coordinates (x1 , y1) and (x2 , y2), the midpoint has coordinates 
For A (0,12) and D (9,4), the midpoint is

However, the problem asks you to relate the location of the office to its distance and direction from point A.
To do so, subtract the coordinates of point A from the coordinates of the midpoint:  or (9/2, -4).
Thus, the location of the office relative to point A is miles east and 4 miles south.
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A park has the shape and dimensions, in miles, given below. The park office is located halfway between point A and point D. Which of the following is the location of the park office from point A? (Note: The park’s borders run east-west or north-south.)a)3 miles east andmiles northb)miles east and 4 miles southc)4 miles east and miles southd)6 miles east and 4 miles southe)6 miles east andmiles southCorrect answer is option 'B'. Can you explain this answer?
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A park has the shape and dimensions, in miles, given below. The park office is located halfway between point A and point D. Which of the following is the location of the park office from point A? (Note: The park’s borders run east-west or north-south.)a)3 miles east andmiles northb)miles east and 4 miles southc)4 miles east and miles southd)6 miles east and 4 miles southe)6 miles east andmiles southCorrect answer is option 'B'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about A park has the shape and dimensions, in miles, given below. The park office is located halfway between point A and point D. Which of the following is the location of the park office from point A? (Note: The park’s borders run east-west or north-south.)a)3 miles east andmiles northb)miles east and 4 miles southc)4 miles east and miles southd)6 miles east and 4 miles southe)6 miles east andmiles southCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A park has the shape and dimensions, in miles, given below. The park office is located halfway between point A and point D. Which of the following is the location of the park office from point A? (Note: The park’s borders run east-west or north-south.)a)3 miles east andmiles northb)miles east and 4 miles southc)4 miles east and miles southd)6 miles east and 4 miles southe)6 miles east andmiles southCorrect answer is option 'B'. Can you explain this answer?.
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