Solve for the area of the part shaded in purple

Answer:
area of a trapezium
1/2 ( a+b)h
1/2 (15+9)15
1/2 *24*15
12*15
=180
Answer:
180 cm
Step-by-step explanation:
this is because if you find the correct area of the purple rectangular shape first, you would have the equation 15 x 9. this equation will give us an answer of 135 mm. our next step would be to find the area of the triangle.
our equation for this will be 15 x 6. this will give us our answers of 90. but because it is a triangle, we will have to divide by two. given is 45. our new equation will now be 135 + 45 given us our sum of 180 cm for the assumed area.