2011 AMC 8 Problem 19

Attempt Problem 19 of the 2011 AMC 8 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 2011 AMC 8 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

19.

How many rectangles are in this figure?
88
99
1010
1111
1212
Answer: D
Concepts:counting shapes in figuressystematic listing
Small hint:
Count all single-region and multi-region rectangles systematically.
Big hint:
Break the figure into labeled small regions.
Solution:
We can split the figure into these regions to make it easier to count the rectangles.
The rectangles in this figure are b,b, c,c, d,d, ab,ab, bc,bc, cd,cd, cf,cf, de,de, abcd,abcd, cdef,cdef, and bcfg.bcfg. These form 1111 rectangles.
Thus, D is the correct answer.
LIVE by Po-Shen Loh
Programs

LIVE Classes

Self-Paced Classes

Stars

Scholarship

About Us

Who Is Po-Shen Loh?

Email Contact

Newsletter

Jobs

Become a Star

For a more Thought Full world.

© 2026 Expii, Inc.