Question

A rectangular plot of land that measures 14m by 22m needs to be split diagonally from corner to corner using a fence. How long does his fence need to be

Answer 1

Answer:

26.08 meters (rounded to 2 decimal places)

Step-by-step explanation:

This diagonal creates a right triangle with one leg 14m and another leg 22 m. We can use pythagorean theorem to figure out the diagonal (hypotenuse of the right triangle).

Pythagorean theorem tells us $hypotenuse^2=OneLeg^2+OtherLeg^2\\hypotenuse^2=14^{2}+22^{2}\\hypotenuse^2=680\\hypotenuse=\sqrt{680} =26.08m$

The fence needs to be 26.08 meters (rounded to 2 decimal places)