Question 29
Consider the square $ABCD$ with sides of length $1$, as in the drawing below. A horizontal segment $EW$ and a vertical segment $NS$, both of length $1/2$, lie entirely inside the square and intersect at the point $X$, forming an angle of $90^\circ$.
a) What is the area of the quadrilateral $NESW$?
b) What is the sum of the areas of the triangles $EDN$, $AES$, $BSW$ and $CNW$?
a) What is the area of the quadrilateral $NESW$?
b) What is the sum of the areas of the triangles $EDN$, $AES$, $BSW$ and $CNW$?