If you are putting a video in the iframe and you want your layout to be fluid, you should look at this webpage: Fluid Width Video
Depending on the video source and if you want to have old videos become responsive your tactics will need to change.
If this is your first video, here is a simple solution:
<div class="videoWrapper">
<!-- Copy & Pasted from YouTube -->
<iframe width="560" height="349" src="http://www.youtube.com/embed/n_dZNLr2cME?rel=0&hd=1" frameborder="0" allowfullscreen></iframe>
</div>
And add this css:
.videoWrapper {
position: relative;
padding-bottom: 56.25%; /* 16:9 */
padding-top: 25px;
height: 0;
}
.videoWrapper iframe {
position: absolute;
top: 0;
left: 0;
width: 100%;
height: 100%;
}
Disclaimer: none of this is my code, but I've tested it and was happy with the results.