2012 AMC 10A Problem 2

Below is the professionally curated solution for Problem 2 of the 2012 AMC 10A, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2012 AMC 10A solutions, or check the answer key.

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Concepts:square (geometry)rectangle

Difficulty rating: 450

2.

A square with side length 88 is cut in half, creating two congruent rectangles. What are the dimensions of one of these rectangles?

2 by 42 \text{ by } 4

2 by 62 \text{ by } 6

2 by 82 \text{ by } 8

4 by 44 \text{ by } 4

4 by 84 \text{ by } 8

Solution:

Note that the one of the sides remains the same as the original square.

This means that one dimension is 8.8. The other dimension is the original side cut in half, which is 4.4.

Thus, E is the correct answer.

Problem 2 in Other Years