Problema Solution
a rectangular piece of land whose length is twice its width has a diagonal distance of 50 yards.how many yards does a person save by walking diagonally across the land instead of walking its length and its width?
Answer provided by our tutors
let 'w' represent the width, then '2w' represents the length
diagonal distance is based on a right triangle calculation, so:
50^2 = w^2 + (2w)^2
solving for 'w' we have a positive value of w=22.36
22.36 * 2 = 44.72
walking the length and width:
22.36 + 44.72 = 67.08
67.08 - 50 = 17.08
a length of approximately 17.1 yards is saved by walking the diagonal rather than the perimeter