Problem:
In one of the adjoining figures a square of side is dissected into four pieces so that and are the midpoints of opposite sides and is perpendicular to . These four pieces can then be reassembled into a rectangle as shown in the second figure. The ratio of height to base, , in this rectangle is
Answer Choices:
A.
B.
C.
D.
E.
Solution:
The height of the rectangle is . The area of the rectangle is the same as the square's, i.e., . Therefore,