{"status": "success", "data": {"description_md": "All of the triangles in the diagram below are similar to isosceles triangle $ABC$, in which $AB=AC$. Each of the $7$ smallest triangles has area $1,$ and $\\triangle ABC$ has area $40$. What is the area of trapezoid $DBCE$?<br><center><img class=\"problem-image\" alt='[asy] unitsize(5); dot((0,0)); dot((60,0)); dot((50,10)); dot((10,10)); dot((30,30)); draw((0,0)--(60,0)--(50,10)--(30,30)--(10,10)--(0,0)); draw((10,10)--(50,10)); label(\"$B$\",(0,0),SW); label(\"$C$\",(60,0),SE); label(\"$E$\",(50,10),E); label(\"$D$\",(10,10),W); label(\"$A$\",(30,30),N); draw((10,10)--(15,15)--(20,10)--(25,15)--(30,10)--(35,15)--(40,10)--(45,15)--(50,10)); draw((15,15)--(45,15)); [/asy]' class=\"latexcenter\" height=\"295\" src=\"https://latex.artofproblemsolving.com/d/1/3/d13adfd6d388ea5d30660f97f3b425db198e8093.png\" width=\"545\"/></center>\n\n$\\textbf{(A) }   16   \\qquad        \\textbf{(B) }   18   \\qquad    \\textbf{(C) }   20   \\qquad   \\textbf{(D) }  22 \\qquad  \\textbf{(E) }   24$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>All of the triangles in the diagram below are similar to isosceles triangle  <span class=\"katex--inline\">ABC</span> , in which  <span class=\"katex--inline\">AB=AC</span> . Each of the  <span class=\"katex--inline\">7</span>  smallest triangles has area  <span class=\"katex--inline\">1,</span>  and  <span class=\"katex--inline\">\\triangle ABC</span>  has area  <span class=\"katex--inline\">40</span> . What is the area of trapezoid  <span class=\"katex--inline\">DBCE</span> ?<br/><center><img class=\"latexcenter\" alt=\"[asy] unitsize(5); dot((0,0)); dot((60,0)); dot((50,10)); dot((10,10)); dot((30,30)); draw((0,0)--(60,0)--(50,10)--(30,30)--(10,10)--(0,0)); draw((10,10)--(50,10)); label(&#34;$B$&#34;,(0,0),SW); label(&#34;$C$&#34;,(60,0),SE); label(&#34;$E$&#34;,(50,10),E); label(&#34;$D$&#34;,(10,10),W); label(&#34;$A$&#34;,(30,30),N); draw((10,10)--(15,15)--(20,10)--(25,15)--(30,10)--(35,15)--(40,10)--(45,15)--(50,10)); draw((15,15)--(45,15)); [/asy]\" height=\"295\" src=\"https://latex.artofproblemsolving.com/d/1/3/d13adfd6d388ea5d30660f97f3b425db198e8093.png\" width=\"545\"/></center></p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A) }   16   \\qquad        \\textbf{(B) }   18   \\qquad    \\textbf{(C) }   20   \\qquad   \\textbf{(D) }  22 \\qquad  \\textbf{(E) }   24</span> </p>&#10;<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "2018 AMC 12A Problem 8", "can_next": true, "can_prev": true, "nxt": "/problem/18_amc12A_p09", "prev": "/problem/18_amc12A_p07"}}