1998 AMC 12 Problem 10
Attempt Problem 10 of the 1998 AMC 12 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1998 AMC 12 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
10.
A large square is divided into a small square surrounded by four congruent rectangles as shown. The perimeter of each of the congruent rectangles is What is the area of the large square?
Answer: A
Small hint:
Let the sides of one rectangle be and
Big hint:
The side length of the large square is
Solution:
If a rectangle has sides then so The large square has side hence area The correct answer is A.
Problem 10 in other years
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