MathDB
Area of a Quadrilateral

Source:

March 3, 2009
geometry

Problem Statement

Pegs are put in a board 1 1 unit apart both horizontally and vertically. A reubber band is stretched over 4 4 pegs as shown in the figure, forming a quadrilateral. Its area in square units is
[asy] int i,j; for(i=0; i<5; i=i+1) { for(j=0; j<4; j=j+1) { dot((i,j)); }} draw((0,1)--(1,3)--(4,1)--(3,0)--cycle, linewidth(0.7)); [/asy]
<spanclass=latexbold>(A)</span> 4<spanclass=latexbold>(B)</span> 4.5<spanclass=latexbold>(C)</span> 5<spanclass=latexbold>(D)</span> 5.5<spanclass=latexbold>(E)</span> 6 <span class='latex-bold'>(A)</span>\ 4 \qquad <span class='latex-bold'>(B)</span>\ 4.5 \qquad <span class='latex-bold'>(C)</span>\ 5 \qquad <span class='latex-bold'>(D)</span>\ 5.5 \qquad <span class='latex-bold'>(E)</span>\ 6