olymmath

AMC 12 2020a Problem 6

  • Paper

In the plane figure shown below, 33 of the unit squares have been shaded. What is the least number of additional unit squares that must be shaded so that the resulting figure has two lines of symmetry??

import olympiad;
unitsize(25);
filldraw((1,3)--(1,4)--(2,4)--(2,3)--cycle, gray(0.7));
filldraw((2,1)--(2,2)--(3,2)--(3,1)--cycle, gray(0.7));
filldraw((4,0)--(5,0)--(5,1)--(4,1)--cycle, gray(0.7));
for (int i = 0; i < 5; ++i) {
for (int j = 0; j < 6; ++j) {
pair A = (j,i);

}
}
for (int i = 0; i < 5; ++i) {
for (int j = 0; j < 6; ++j) {
if (j != 5) {
draw((j,i)--(j+1,i));
}
if (i != 4) {
draw((j,i)--(j,i+1));
}
}
}

(A) 4(B) 5(C) 6(D) 7(E) 8\textbf{(A) } 4 \textbf{(B) } 5 \textbf{(C) } 6 \textbf{(D) } 7 \textbf{(E) } 8

Dataset text AMC 12 2000 to 2025. Quoted with source.

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D

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