Problem:
Six rectangles each with a common base width of have lengths of , and . What is the sum of the areas of the six rectangles?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
The areas of the six rectangles are , and . Adding yields .
The sum of areas is
.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions