ABCD is a square divided into 3 parts, X , Y and Z. The ratio of the area of part X to the area of part Y is 1 :4. The area of part X is 288$$cm^2$$. <hr> Find the length of square ABCD. <br> <input min="0" type="number" id="imp6pg205q8_1" class="lineinput" placeholder="?"> $$cm$$