The area of the shape shown in the image attached is determined as 52.5 cm².
How to calculate the area of the shape?
The area of the trapezium is calculated by applying the following formula as shown below:
Area = ¹/₂ x (sum of parallel sides ) x height
The given parameters include;
the parallel sides = 9 cm and 12 cm
the height of the trapezium = 5 cm
The area of the trapezium is calculated as follows;
Area = ¹/₂ x (9 cm + 12 cm) x 5 cm
Area = 52.5 cm²
Thus, the area of the shape shown in the image attached is determined as 52.5 cm².