MathDB
Rhombus on #4?!?

Source: 2019 AMC 8 #4

November 19, 2019
geometryrhombusAMC 8perimeter

Problem Statement

Quadrilateral ABCDABCD is a rhombus with perimeter 5252 meters. The length of diagonal AC\overline{AC} is 2424 meters. What is the area in square meters of rhombus ABCDABCD? [asy] unitsize(1cm); draw((0,1)--(2,2)--(4,1)--(2,0)--cycle); dot("AA",(0,1),W); dot("DD",(2,2),N); dot("CC",(4,1),E); dot("BB",(2,0),S); [/asy] <spanclass=latexbold>(A)</span>60<spanclass=latexbold>(B)</span>90<spanclass=latexbold>(C)</span>105<spanclass=latexbold>(D)</span>120<spanclass=latexbold>(E)</span>144<span class='latex-bold'>(A) </span> 60 \qquad<span class='latex-bold'>(B) </span> 90 \qquad<span class='latex-bold'>(C) </span> 105 \qquad<span class='latex-bold'>(D) </span> 120 \qquad<span class='latex-bold'>(E) </span> 144