Question

Ross and Ronnie are late for their favorite show . Ross walks around a rectangular park with dimensions of 150 ft by 215 ft. Ronnie decides to cut across the park in a diagonal path. Who walks the shortest distance and by how much? *

Answer 1

Ronnie walked the shortest distance by (365 - 262.15 ) = 102.85 ft

Explanation:

The image attached represent the rectangular park. In this case, the dimensions are;

AB = CD = 215 ft

AC = BD = 150 ft

Total distance walked by Ross = AB + BD = 215 + 150 = 365 ft

Distance walked by Ronnie = AD

∠ABD = right angle triangle, using pythagoras rules;

AD² = AB² + BD²

AD² = 215² + 150²

AD² = 68725

AD = √68725

AD = 262.15 ft

Distance walked by Ronnie = 262.15 ft

Ronnie walked the shortest distance by (365 - 262.15 ) = 102.85 ft