Brookfield Street, which is 16 meters wide, intersects with Greenville Avenue, which is 12 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? _____ meters

Question

Brookfield Street, which is 16 meters wide, intersects with Greenville Avenue, which is 12 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?  _____ meters

Bytelearn · Accepted Answer

Walk Across Brookfield Street: Eduardo walks across Brookfield Street which is 16 meters wide.Walk Across Greenville Avenue: Then he turns and walks across Greenville Avenue which is 12 meters wide.Calculate Diagonal Distance: The dog runs diagonally across the intersection, so we use the Pythagorean theorem to find the diagonal distance.Use Pythagorean Theorem: Calculate the diagonal using the Pythagorean theorem: a^2 + b^2 = c^2, where a is the width of Brookfield Street and b is the width of Greenville Avenue.Plug in Values: Plug in the values: 16^2 + 12^2 = c^2.Calculate Squares: Calculate the squares: 256 + 144 = c^2.Add Squares: Add the squares: 256 + 144 = 400.Find Square Root: Find the square root of 400 to get the diagonal distance: sqrt(400) = 20.Add Distances: Add the distances Eduardo's dog travels: 16 meters across Brookfield Street + 12 meters across Greenville Avenue + 20 meters diagonally = 48 meters.

Full solution

More problems from Pythagorean Theorem and its converse

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