MathDB
Menkara and Index Cards

Source: 2021 AMC 10A/12A (Fall) #2

November 11, 2021
AMCAMC 10AMC 10 Aamc12a

Problem Statement

Menkara has a 4×64 \times 6 index card. If she shortens the length of one side of this card by 11 inch, the card would have area 1818 square inches. What would the area of the card be in square inches if instead she shortens the length of the other side by 11 inch?
<spanclass=latexbold>(A)</span>16<spanclass=latexbold>(B)</span>17<spanclass=latexbold>(C)</span>18<spanclass=latexbold>(D)</span>19<spanclass=latexbold>(E)</span>20<span class='latex-bold'>(A) </span>16\qquad<span class='latex-bold'>(B) </span>17\qquad<span class='latex-bold'>(C) </span>18\qquad<span class='latex-bold'>(D) </span>19\qquad<span class='latex-bold'>(E) </span>20