Ive got an excel spreadsheet with the outlines of house locations as polygons (within the table i have the shape length and shape area of each house. I need to know how to take this from an excel to a shapefile to display it on the map
That is just the attribute table from the geodatabase file. You are missing the necessary Shape field to generate the polygons... particularly if you only have that file in Excel
That is the point... the shapefield is created by ArcMap, it stores the geometry there. You need the originating file (I suspect a geodatabase in your case since you have Shape_Length etc fields). Your only option is to get the original file.