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Brookfield Street, which is 1616 meters wide, intersects with Greenville Avenue, which is 1212 meters wide. Eduardo walks his dog across Brookfield Street and then turns and walks across Greenville Avenue. Suddenly, Eduardo's dog runs diagonally across the intersection back to the corner they started on. How far does Eduardo's dog travel in all?\newline\newlinecent;____ meters

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Full solution

Q. Brookfield Street, which is 1616 meters wide, intersects with Greenville Avenue, which is 1212 meters wide. Eduardo walks his dog across Brookfield Street and then turns and walks across Greenville Avenue. Suddenly, Eduardo's dog runs diagonally across the intersection back to the corner they started on. How far does Eduardo's dog travel in all?\newline\newlinecent;____ meters
  1. Walk Across Brookfield Street: Eduardo walks across Brookfield Street which is 1616 meters wide.
  2. Walk Across Greenville Avenue: Then he turns and walks across Greenville Avenue which is 1212 meters wide.
  3. Calculate Diagonal Distance: The dog runs diagonally across the intersection, so we use the Pythagorean theorem to find the diagonal distance.
  4. Use Pythagorean Theorem: Calculate the diagonal using the Pythagorean theorem: a2+b2=c2a^2 + b^2 = c^2, where aa is the width of Brookfield Street and bb is the width of Greenville Avenue.
  5. Plug in Values: Plug in the values: 162+122=c216^2 + 12^2 = c^2.
  6. Calculate Squares: Calculate the squares: 256+144=c2256 + 144 = c^2.
  7. Add Squares: Add the squares: 256+144=400256 + 144 = 400.
  8. Find Square Root: Find the square root of 400400 to get the diagonal distance: 400=20\sqrt{400} = 20.
  9. Add Distances: Add the distances Eduardo's dog travels: 1616 meters across Brookfield Street + 1212 meters across Greenville Avenue + 2020 meters diagonally = 4848 meters.

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