Area, SM-Bank 035 \(PQRS\) is a square of side length 4 m as shown in the diagram below. The distance \(ST\) is 1 m. Calculate the shaded area \(PQTS\) in square metres. (2 marks) --- 4 WORK AREA LINES (style=lined) --- Show Answers Only \(10\ \text{m}^2\) Show Worked Solution \(\text{Method 1:}\) \(\text{Area of}\ \Delta QRT\) \(=\dfrac{1}{2}\times RT\times QR\) \(=\dfrac{1}{2}\times 3\times 4\) \(=6\ \text{m}^2\) \(\therefore\ \text{Shaded Area}\ =4\times 4-6 =10\ \text{m}^2\) \(\text{Method 2:}\) \(\text{Area of Trapezium }PSQT\) \(=\dfrac{PS}{2}(ST+PQ)\) \(=\dfrac{4}{2}(1+4)\) \(=10\ \text{m}^2\)
