Question

The length of a diagonal of a large square garden is 15 yards. What is the approximate length of one side of the square garden?

Answer 1

By the pythagorean theorem the diagonal length will be:

d^2=x^2+y^2 and since this is a square x=y so

d^2=2x^2 and since d=15

225=2x^2

x^2=112.5

x=√112.5 yds

x≈10.6 yds (to nearest tenth of a yard)