Problem:
Menkara has a index card. If she shortens the length of one side of this card by 1 inch, the card would have area 18 square inches. What would the area of the card be in square inches if instead she shortens the length of the other side by 1 inch?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
Shortening the side with length 4 by 1 inch yields a card, whose area is 18 square inches. Shortening the side with length 6 by 1 inch results in a card, whose area is square inches.
The problems on this page are the property of the MAA's American Mathematics Competitions