Difference between revisions of "2005 AMC 12B Problems/Problem 3"

(Problem)
Line 1: Line 1:
 
== Problem ==
 
== Problem ==
 +
A rectangle with a diagonal of length <math>x</math> is twice as long as it is wide.  What is the area of the rectangle?
 +
 +
<math>
 +
\mathrm{(A)}\ \frac14x^2      \qquad
 +
\mathrm{(B)}\ \frac25x^2      \qquad
 +
\mathrm{(C)}\ \frac12x^2      \qquad
 +
\mathrm{(D)}\ x^2      \qquad
 +
\mathrm{(E)}\ \frac32x^2
 +
</math>
  
 
== Solution ==
 
== Solution ==

Revision as of 21:40, 17 April 2009

Problem

A rectangle with a diagonal of length $x$ is twice as long as it is wide. What is the area of the rectangle?

$\mathrm{(A)}\ \frac14x^2      \qquad \mathrm{(B)}\ \frac25x^2      \qquad \mathrm{(C)}\ \frac12x^2      \qquad \mathrm{(D)}\ x^2      \qquad \mathrm{(E)}\ \frac32x^2$

Solution

See also