Problem: The base of a new rectangle equals the sum of the diagonal and the greater side of a given rectangle, while the altitude of the new rectangle equals the difference of the diagonal and the greater side of the given rectangle. The area of the new rectangle is:
Answer Choices:
A. greater than the area of the given rectangle
B. equal to the area of the given rectangle
C. equal to the area of a square with its side equal to the smaller side of the given rectangle
D. equal to the area of a square with its side equal to the greater side of the given rectangle
E. equal to the area of a rectangle whose dimensions are the diagonal and shorter side of the given rectangle
Solution:
Area (new) (C) is the correct choice.