Problema Solution
A rectangular piece of land whose length it’s twice it’s width has a diagnal of 96 yards. How many yards, to the nearest tenth of a yard, does a person save by walking diagonally across the land instead of walking its length and it’s 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:
96^2 = w^2 + (2w)^2
solving for w we have a positive value of w=42.93
42.93 * 2 = 85.86
Walking the length and width the distance is:
42.93 + 85.86 = 128.79
128.79 - 96 = 32.79
Approximately 32.8 yards in distance is saved by walking the diagonal rather than walking the length and width.