Problem:
In order for Mateen to walk a kilometer in his rectangular backyard, he must walk the length times or walk its perimeter times. What is the area of Mateen's backyard in square meters?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
The perimeter is , and this is two lengths and two widths. The length of the backyard is . Since two lengths total , the two widths total , and the width is . The area is .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions