Area, SM-Bank 148 A rhombus has an area of 140.8 square metres. If one diagonal measures 16 metres, find the length of the other diagonal. (2 marks) --- 4 WORK AREA LINES (style=lined) --- Show Answers Only \(17.6\ \text{m}\) Show Worked Solution \(\text{Area of rhombus}=140.8\ \text{m}^2\) \(\text{Length of diagonal:}\ x=16\ \text{m}\) \(A\) \(=\dfrac{1}{2}xy\) \(140.8\) \(=\dfrac{1}{2}\times 16\times y\) \(8y\) \(=140.8\) \(y\) \(=\dfrac{140.8}{8}\) \(=17.6\ \text{m}\) \(\therefore\ \text{The other diagonal is }17.6\ \text{m long.}\)