Justin has a rectangular garden measuring 10ft by 16ft that he wants to split diagonally from corner to corner using a fence. How long should the fence be? Round your answer to the tenth

The fence is 18.9 ft long.

Step-by-step explanation:

If you were to create a diagonal line from corner to corner with a square that is 10x16ft, you would have a triangle with 2 known sides and an unknown value. In this case, because you are making a 90° triangle, you can use Pythagorean Theorem:

a^{2} + b^{2} = c^{2}

by plugging in the two values given (10 and 16):

10^{2} + 16^{2} = c^{2}

solve

100 + 256 = c^{2}

356 = c^{2}

√356 = c

18.9 = c