The figure shows two similar squares ABCD and EFGH, and a rectangle DGJK between them.<br><br>&bull; Each square has side 7 cm (from AB = 7 cm previously).<br>&bull; AK spans from vertex A of square ABCD to vertex K of rectangle DGJK.<br>&bull; AK = AD + DK. AD = 7 cm (square side). From the figure, DK = 5 cm (rectangle width).<br>&bull; AK = 7 + 5 = 12 cm.<br><br>Final Answer: AK = 12 cm