MathDB
2023 Individual #18

Source:

April 26, 2023
2023 Individual

Problem Statement

The diagram below shows a rectangle and two triangles with areas 2020 and 44. What is the area of the shaded triangle?
[asy] size(3cm); draw((0,0)--(7,0)--(7,5)--(0,5)--(0,0)); draw((4,0)--(0,5)); draw((7,0)--(0,5)); draw((4,0)--(7,5)); filldraw((0,0)--(4,0)--(0,5)--cycle, lightgray); label("44",(5.5,0.5)); label("2020",(4,4)); [/asy] <spanclass=latexbold>(A)</span>12<spanclass=latexbold>(B)</span>14<spanclass=latexbold>(C)</span>16<spanclass=latexbold>(D)</span>18<spanclass=latexbold>(E)</span>20<span class='latex-bold'>(A) </span> 12\qquad<span class='latex-bold'>(B) </span> 14\qquad<span class='latex-bold'>(C) </span> 16\qquad<span class='latex-bold'>(D) </span> 18\qquad<span class='latex-bold'>(E) </span> 20