Problem:
A rectangular garden feet long and feet wide is enclosed by a fence. To make the garden larger, while using the same fence, its shape is changed to a square. By how many square feet does this enlarge the garden?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
The area of the garden was square feet and its perimeter was feet, . The square garden is also enclosed by feet of fence so its sides are each feet long. The square garden's area is square feet . and this has increased the garden area by square feet.
.jpg)
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions