Answer:
72 cm
Step-by-step explanation:
So you can divide the trapezium into two shapes: a right triangle, and a rectangle.
After doing so, you have a rectangle that is 6 by 9, which is then easy to solve for. 6*9 is 54, so the area of the rectangle is 54 cm.
Now we have the triangle, with leg a being 4 cm, and leg b being 9 cm. To calculate the area of a right triangle, we can solve with a*b, and then divide by 2.
We can substitute the variables, making the equation 4*9. We know 4*9 is 36, so now we can divide 36 by 2.
36/2=18
Now we can add the area of the triangle to the rectangle area to get the total are of the trapezium.
54+18=72
So your answer is 72 cm.