Difference between revisions of "2022 AMC 8 Problems/Problem 1"
(Created page with "--Problem-- The Math Team designed a logo shaped like a multiplication symbol, shown below on a grid of 1-inch squares. What is the area of the logo in square inches? [asy]...") |
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The Math Team designed a logo shaped like a multiplication symbol, shown below on a grid of 1-inch squares. What is the area of the logo in square inches? | The Math Team designed a logo shaped like a multiplication symbol, shown below on a grid of 1-inch squares. What is the area of the logo in square inches? | ||
| − | + | <asy> | |
usepackage("mathptmx"); | usepackage("mathptmx"); | ||
defaultpen(linewidth(0.5)); | defaultpen(linewidth(0.5)); | ||
size(5cm); | size(5cm); | ||
defaultpen(fontsize(14pt)); | defaultpen(fontsize(14pt)); | ||
| − | label(" | + | label("$\textbf{Math}$", (2.1,3.7)--(3.9,3.7)); |
| − | label(" | + | label("$\textbf{Team}$", (2.1,3)--(3.9,3)); |
filldraw((1,2)--(2,1)--(3,2)--(4,1)--(5,2)--(4,3)--(5,4)--(4,5)--(3,4)--(2,5)--(1,4)--(2,3)--(1,2)--cycle, mediumgray*0.5 + lightgray*0.5); | filldraw((1,2)--(2,1)--(3,2)--(4,1)--(5,2)--(4,3)--(5,4)--(4,5)--(3,4)--(2,5)--(1,4)--(2,3)--(1,2)--cycle, mediumgray*0.5 + lightgray*0.5); | ||
| Line 28: | Line 28: | ||
draw((5,0)--(5,6), gray); | draw((5,0)--(5,6), gray); | ||
draw((6,0)--(6,6), gray); | draw((6,0)--(6,6), gray); | ||
| − | + | </asy> | |
| − | |||
<math>\textbf{(A) } 10 \qquad \textbf{(B) } 12 \qquad \textbf{(C) } 13 \qquad \textbf{(D) } 14 \qquad \textbf{(E) } 15</math> | <math>\textbf{(A) } 10 \qquad \textbf{(B) } 12 \qquad \textbf{(C) } 13 \qquad \textbf{(D) } 14 \qquad \textbf{(E) } 15</math> | ||
Revision as of 09:22, 28 January 2022
--Problem--
The Math Team designed a logo shaped like a multiplication symbol, shown below on a grid of 1-inch squares. What is the area of the logo in square inches?
![[asy] usepackage("mathptmx"); defaultpen(linewidth(0.5)); size(5cm); defaultpen(fontsize(14pt)); label("$\textbf{Math}$", (2.1,3.7)--(3.9,3.7)); label("$\textbf{Team}$", (2.1,3)--(3.9,3)); filldraw((1,2)--(2,1)--(3,2)--(4,1)--(5,2)--(4,3)--(5,4)--(4,5)--(3,4)--(2,5)--(1,4)--(2,3)--(1,2)--cycle, mediumgray*0.5 + lightgray*0.5); draw((0,0)--(6,0), gray); draw((0,1)--(6,1), gray); draw((0,2)--(6,2), gray); draw((0,3)--(6,3), gray); draw((0,4)--(6,4), gray); draw((0,5)--(6,5), gray); draw((0,6)--(6,6), gray); draw((0,0)--(0,6), gray); draw((1,0)--(1,6), gray); draw((2,0)--(2,6), gray); draw((3,0)--(3,6), gray); draw((4,0)--(4,6), gray); draw((5,0)--(5,6), gray); draw((6,0)--(6,6), gray); [/asy]](http://latex.artofproblemsolving.com/3/6/0/3601cfc2de44b936af89add318708b5a995aff67.png)
