Area, SM-Bank 008 The length of this rectangle is one and a half times its width. The perimeter of the rectangle is 50 centimetres. What is the area of the rectangle? (2 marks) --- 4 WORK AREA LINES (style=lined) --- Show Answers Only \(150\ \text{cm}^2\) Show Worked Solution \(\text{Let}\ x=\text{width, then}\ \ 1.5x=\text{length}\) \(\text{Perimeter:}\ \rightarrow\ \) \(\ \ 2\times x+2\times 1.5 x\) \(=50\) \(5x\) \(=50\) \(x\) \(=10\) \(\therefore\ \text{width}=10\ \text{cm, length}=15\ \text{cm}\) \(\therefore\ \text{Area}\) \(=10\times 15\) \(=150\ \text{cm}^2\)
