A pentagon is drawn by placing an isosceles right triangle on top of a rectangle as pictured. What percent of the area of the pentagon is the area of the right triangle?
Leg of right triangle = L
Using the Pythagorean Theorem
2^2 = 2L^2
4 = 2L^2
2 = L^2
sqrt (2) = L
Area of right triangle = L^2 / 2 = (sqrt 2)^2 2 = 2 / 2 = 1
Total area 1 + (1 * 2) = 3
Area of triangle / Area of Pentagon = 1 / 3 = 33%