Skip to main content

2010 AMC 12B Problem 2

Problem 2 of 25EasierGeometry

A big L is formed as shown. What is its area?

Answer choices

Show solution

Solution

The region splits into an 8×28\times2 vertical rectangle and a 2×32\times3 horizontal foot, whose width is 5−2=3.5-2=3. The total area is 8⋅2+3⋅2=16+6=22. 8\cdot2+3\cdot2=16+6=22. Thus, the correct answer is A.

More practice

Concepts: area decomposition · rectangle

Problem text and solution from the LIVE past-contest archive. See also the AoPS wiki page for community solutions.