The area of the composite figure involving rectangle and trapezium is 810.5cm².
How to calculate the area?
The area can be found by adding the area of the rectangle and trapezium. This goes thus:
Area of rectangle = Length × Width = 15 × 23 = 345cm²
Area of trapezium = 1/2(a + b)h
= 1/2(15 + 34) × 19
= 1/2 × 49 × 19
= 465.5cm²
The area will now be:
= 345cm² + 465.5cm²
= 810.5cm²
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