I'm asking about conventions of roots, the length of the bases and heights when the area is given.

Question

The area of an animal pen is 30 square feet, what are the lengths of the pen's side if the pen is a right triangle with a height five times the length of the base.

Answer 1

Area = bh/2 = 30 = 5b^2/2

b^2 = (2/5)30 = 12

base length = 2sqr3 = about 3.464 feet

height length = 5(2sqr3) = 10sqr3 = about 17.32 feet high