Question

Will ran the diagonal distance across a square field measuring 40 yards on each side. James ran the diagonal distance across a rectangular field with a length of 25 yards and a width of 35 yards. Will ran a longer distance. How much longer did he run?

Answer 1

∴Will ran 13.55 yards more than James.

Explanation:

Given Will ran the diagonal distance across a square field measuring 40 yards each sides .

∴The distance covered by Will was =
`\sqrt{40^(2)+40^2 }` yards

=
`40√(2)` yards=56.56 yards

Again James ran diagonal distance across a rectangle field with a length of 25 yards and a width of 35 yards.

So,distance covered by James was =
`√(25^2+35^2)` yards

=
`5√(74)` yards = 43.01 yards

∴Will ran longer distance.

∴Will ran 13.55 yards more than James.