Problema Solution
In a rectangular park that measures 36 yards by 15 yards, a dog runs from one corner to the diagonally opposite corner. How far does the dog run?
Answer provided by our tutors
let
l = 36 yd the length of the rectangle
w = 15 yd the width of the rectangle
d = the length of the diagonal, d>0
using the Pythagorean Theorem we have
d^2 = l^2 + w^2
d^2 = 36^2 + 15^2
d^2 = 1521
d = 39 yd
the dog runs 39 yards.