MathDB
2022 A Individual #10

Source:

April 28, 2022
geometry2022 A Individual

Problem Statement

The diagram below shows a square of area 3636 separated into two rectangles and a smaller square. One of the rectangles has an area of 1212. What is the smallest rectangle's area?
[asy] size(70); draw((0,0)--(2,0)--(2,6)--(0,6)--cycle); draw((2,2)--(6,2)--(6,6)--(2,6)--cycle); draw((2,2)--(6,2)--(6,0)--(2,0)--cycle); label("1212",(1,3)); label("??",(4,4)); label("??",(4,1)); [/asy]
<spanclass=latexbold>(A)</span>8<spanclass=latexbold>(B)</span>9<spanclass=latexbold>(C)</span>12<spanclass=latexbold>(D)</span>16<spanclass=latexbold>(E)</span>Not Enough Information<span class='latex-bold'>(A) </span>8\qquad<span class='latex-bold'>(B) </span>9\qquad<span class='latex-bold'>(C) </span>12\qquad<span class='latex-bold'>(D) </span>16\qquad<span class='latex-bold'>(E) </span>\text{Not Enough Information}