Answer:
- 1) 216 units², 2) 138 units²
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Top figure
We know that the area of a rectangle with same dimensions is twice the area of a triangle.
The shaded area is half the area of the rectangle:
- A = ab/2 = 18*24/2 = 216 units²
Bottom figure
You already divided it to rectangle and triangle.
Area of rectangle:
- A = ab = 10*12 = 120 units²
The triangle have same base, 12 units. It height is 16 - 10 = 6 units.
Its area is:
- A = bh/2 = 12*6/2 = 36 units²
Area of the small rectangle in the middle:
The shaded area is the difference of the total area and the small rectangle:
- Shaded area = 120 + 36 - 18 = 138 units²