It looks like your 2011 iMac is a 21.5" iMac with a resolution of 1920x1080 pixels.
I absolutely would not bother with purchasing Luna Display to try to reuse that screen. You can buy an actual 24" 1920x1080 display for what the Luna Display would cost. It wouldn't be a very good or color-accurate one, but it would be much more convenient to use and have lower electricity costs.
For about $150 USD you could get a 24" 1920x1080 display with an IPS panel, and 100% / near-100% coverage of sRGB.
Or you could treat yourself to an upgrade – a 27" monitor with 2.5K, 4K, or 5K resolution.
I can see why people might use Luna Display to try to save a 27" 5K Retina iMac and use it as a second screen, but small 1920x1080 displays simply aren't as expensive or as difficult to replace as 27" 5K (5120x2880) ones.