2012 AMC 10A Problem 2 — Solution | LIVE by Po-Shen Loh

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2012 AMC 10A Problem 2

Attempt Problem 2 of the 2012 AMC 10A 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 2012 AMC 10A solutions, or check the answer key.

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2.

A square with side length $8$ is cut in half, creating two congruent rectangles. What are the dimensions of one of these rectangles?

$2 \text{ by } 4$

$2 \text{ by } 6$

$2 \text{ by } 8$

$4 \text{ by } 4$

$4 \text{ by } 8$

Answer: E

Concepts:square (geometry)rectangle

Difficulty rating: 450

Solution:

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

This means that one dimension is $8.$ The other dimension is the original side cut in half, which is $4.$

Thus, E is the correct answer.

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