2011 AMC 8 Problem 19 — Solution | LIVE by Po-Shen Loh

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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?

$8$

$9$

$10$

$11$

$12$

Answer: D

Concepts:counting shapes in figures systematic listing

Difficulty rating: 1430

Solution:

We can split the figure into these regions to make it easier to count the rectangles.

The rectangles in this figure are $b,$ $c,$ $d,$ $ab,$ $bc,$ $cd,$ $cf,$ $de,$ $abcd,$ $cdef,$ and $bcfg.$ These form $11$ rectangles.

Thus, D is the correct answer.

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