Question

find the area(shown in picture)

Answer 1

rectangle is (11*5) = 55

pythagorean theorem for the triangle. you get root 33 as the height of the top triangle. so the height of the bottom triangle is 11 - root 33.

top triangle area is 4 * root 33 / 2 which is 2 root 33.
bottom triangle area is (11 - root 33) * 4 = 44 - 4 root 33

add everything up and you get 55 + 2root33 + 44 - 4root 33 = 99 - 2root33