## anonymous one year ago Radicals A rectangular garden is 16 feet long. If you walk diagonally across the garden, you would walk 20 feet. How many feet wide is the garden?

Essentially, we have a case of a right triangle with two given sides, which can be solved trivially by means of the Pythagorean Theorem, or $a^2+b^2=c^2$We know that b=16 and c=20. Hence, we have $a=\sqrt{c^2-b^2} = \sqrt{20^2-16^2} = \sqrt{144} = 12.$So the width of the garden is 12 feet.