Question

Find the total area of the prism in ( _+_√_ )

Answer 1

First find the hypotenuse of the right triangle bases.
a^2 + b^2 = c^2
4^2 + 6^2 = c^2
16 + 36 = c^2
52 = c^2
2√13 = c

Triangle bases:
A = (1/2) * b * h * 2
A = (1/2) * 4 * 6 * 2
A = 24 ft^2

Front Rectangle:                 Left side Rectangle             Back Side Rectangle
A = 8 * 2√13 = 16√13  ft^2      A = 4 * 4 = 32 ft^2           A = 6 * 8 = 48 ft^2

24 + 32 + 48 + 16√13 =        Total area = 104 + 16√13 ft^2