Difference between revisions of "2012 AMC 10A Problems/Problem 2"
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A square with side length 8 is cut in half, creating two congruent rectangles. What are the dimensions of one of these rectangles? | A square with side length 8 is cut in half, creating two congruent rectangles. What are the dimensions of one of these rectangles? | ||
| − | <math> \textbf{(A)}\ 2\ by\ 4\qquad\textbf{(B)}\ \ 2\ by\ 6\qquad\textbf{(C)}\ \ 2\ by\ 8\qquad\textbf{(D)}\ 4\ by\ 4\qquad\textbf{(E)}\ 4\ by\ 8 </math> | + | <math> \textbf{(A)}\ 2\ \text{by}\ 4\qquad\textbf{(B)}\ \ 2\ \text{by}\ 6\qquad\textbf{(C)}\ \ 2\ \text{by}\ 8\qquad\textbf{(D)}\ 4\ \text{by}\ 4\qquad\textbf{(E)}\ 4\ \text{by}\ 8 </math> |
== Solution == | == Solution == | ||
Cutting the square in half will bisect one pair of sides while the other side will remain unchanged. Thus, the new square is <math>\frac{8}{2}*8</math>, or <math>\qquad\textbf{(E)}\ 4*8</math>. | Cutting the square in half will bisect one pair of sides while the other side will remain unchanged. Thus, the new square is <math>\frac{8}{2}*8</math>, or <math>\qquad\textbf{(E)}\ 4*8</math>. | ||
Revision as of 20:39, 8 February 2012
Problem 2
A square with side length 8 is cut in half, creating two congruent rectangles. What are the dimensions of one of these rectangles?
Solution
Cutting the square in half will bisect one pair of sides while the other side will remain unchanged. Thus, the new square is 
, or 
.
