Area, SM-Bank 013 Lucy designs an outdoor table that is in the shape of a trapezium. The dimensions of the table top are shown in the picture below. What is the area of Lucy's table top? (2 marks) --- 4 WORK AREA LINES (style=lined) --- Show Answers Only \(2600\ \text{cm}^2\) Show Worked Solution \(\text{Method 1: Composite}\) \(\text{Area}\) \(=\text{Area of rectangle}+2\times \text{Area of triangle}\) \(=(50\times 40) + 2\times\Bigg(\dfrac{1}{2}\times 15\times 40\Bigg)\) \(=2000 + 600\) \(=2600\ \text{cm}^2\) \(\text{Method 2: Trapezium}\) \(\text{Area}\) \(=\dfrac{h}{2}(a+b)\) \(=\dfrac{40}{2}(80+50)\) \(=2600\ \text{cm}^2\)
