¶ 2011 AMC 10A Problem 9
Problem:
A rectangular region is bounded by the graphs of the equations , , and , where , and are all positive numbers. Which of the following represents the area of this region?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
Because , and are positive numbers, and . Therefore the height of the rectangle is and the width is . The area of the region is .
The problems and solutions on this page are the property of the MAA's American Mathematics Competitions