Problem:
Figure is a square. Inside this square three smaller squares are drawn with side lengths as labeled. the area of the shaded L-shaped region is
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Answer Choices:
A.
B.
C.
D.
E.
Solution:
The L-shaped region is made up of two rectangles with area plus the corner square with area , so the area of the L-shaped figure is .
Square square .
The L-shaped region can be decomposed into a rectangle and a rectangle. So the total area is .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions