ABCDEFGH is a rectangular prism with AB = 3, BC = 4 and AE = 6. Find the area of quadrilateral ACGE.

\(30\)

Since AB = 3 and BC = 4, by the Pythagorean Theorem, AC = sqrt [ AB^2 + BC^2] = sqrt [ 9 + 16] =

sqrt (25) = 5

And since AE = 6 and AC = 5, the area of quadrilateral ACGE = 6 * 5 = 30