Difference between revisions of "2012 AMC 8 Problems/Problem 5"
Bharatputra (talk | contribs) (Created page with "In the diagram, all angles are right angles and the lengths of the sides are given in centimeters. Note the diagram is not drawn to scale. What is ,<math> X </math> in centimeter...") |
Bharatputra (talk | contribs) |
||
| Line 1: | Line 1: | ||
In the diagram, all angles are right angles and the lengths of the sides are given in centimeters. Note the diagram is not drawn to scale. What is ,<math> X </math> in centimeters? | In the diagram, all angles are right angles and the lengths of the sides are given in centimeters. Note the diagram is not drawn to scale. What is ,<math> X </math> in centimeters? | ||
| − | + | <asy> | |
pair A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R; | pair A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R; | ||
A=(4,0); | A=(4,0); | ||
| Line 22: | Line 22: | ||
R=(4,3); | R=(4,3); | ||
draw(A--B--C--D--E--F--G--H--I--J--K--L--M--N--O--P--Q--R--cycle); | draw(A--B--C--D--E--F--G--H--I--J--K--L--M--N--O--P--Q--R--cycle); | ||
| − | label(" | + | label("$X$",(3.4,1.5)); |
label("6",(7.6,1.5)); | label("6",(7.6,1.5)); | ||
label("1",(7.6,3.5)); | label("1",(7.6,3.5)); | ||
| Line 38: | Line 38: | ||
label("2",(0.8,4.5)); | label("2",(0.8,4.5)); | ||
label("2",(1.5,3.8)); | label("2",(1.5,3.8)); | ||
| − | label("2",(2.8,2.6)); | + | label("2",(2.8,2.6));</asy> |
<math> \textbf{(A)}\hspace{.05in}1\qquad\textbf{(B)}\hspace{.05in}2\qquad\textbf{(C)}\hspace{.05in}3\qquad\textbf{(D)}\hspace{.05in}4\qquad\textbf{(E)}\hspace{.05in}5 </math> | <math> \textbf{(A)}\hspace{.05in}1\qquad\textbf{(B)}\hspace{.05in}2\qquad\textbf{(C)}\hspace{.05in}3\qquad\textbf{(D)}\hspace{.05in}4\qquad\textbf{(E)}\hspace{.05in}5 </math> | ||
Revision as of 13:18, 23 November 2012
In the diagram, all angles are right angles and the lengths of the sides are given in centimeters. Note the diagram is not drawn to scale. What is ,
in centimeters?
![[asy] pair A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R; A=(4,0); B=(7,0); C=(7,4); D=(8,4); E=(8,5); F=(10,5); G=(10,7); H=(7,7); I=(7,8); J=(5,8); K=(5,7); L=(4,7); M=(4,6); N=(0,6); O=(0,5); P=(2,5); Q=(2,3); R=(4,3); draw(A--B--C--D--E--F--G--H--I--J--K--L--M--N--O--P--Q--R--cycle); label("$X$",(3.4,1.5)); label("6",(7.6,1.5)); label("1",(7.6,3.5)); label("1",(8.4,4.6)); label("2",(9.4,4.6)); label("2",(10.4,6)); label("3",(8.4,7.4)); label("1",(7.5,7.8)); label("2",(6,8.5)); label("1",(4.7,7.8)); label("1",(4.3,7.5)); label("1",(3.5,6.5)); label("4",(1.8,6.5)); label("1",(-0.5,5.5)); label("2",(0.8,4.5)); label("2",(1.5,3.8)); label("2",(2.8,2.6));[/asy]](http://latex.artofproblemsolving.com/b/c/d/bcd57a9d78159bce4d3873f81f5d879beaed1d5a.png)
