Difference between revisions of "2021 Fall AMC 10A Problems/Problem 2"

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== Problem ==
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#REDIRECT [[2021_Fall_AMC_12A_Problems/Problem_2]]
 
 
Menkara has a <math>4 \times 6</math> index card. If she shortens the length of one side of this card by <math>1</math> inch, the card would have area <math>18</math> square inches. What would the area of the card be in square inches if instead she shortens the length of the other side by <math>1</math> inch?
 
 
 
<math>\textbf{(A) } 16 \qquad\textbf{(B) } 17 \qquad\textbf{(C) } 18 \qquad\textbf{(D) } 19 \qquad\textbf{(E) } 20</math>
 
 
 
== Solution ==
 
If Menkara instead shortens the length of the other side by <math>1</math> inch, then the dimensions of the index card will be <math>4\times5,</math> with area <math>\boxed{\textbf{(E) } 20}.</math>
 
 
 
~MRENTHUSIASM
 

Latest revision as of 17:24, 23 November 2021