Answer:

Step-by-step explanation:
<u>Step 1: Determine the area of the top rectangle</u>
We can tell that the total shape seems like two rectangles glued together. We can separate the top rectangle and determine the area of it and then determine the area of the bottom rectangle and combine them. Lets first solve the left rectangle.



<u>Step 2: Determine the area of the bottom rectangle</u>



<u>Step 3: Determine the total area</u>



Answer: 
The probabilities can be calculated using an online calculator or tables, depending on which is more readily available.
QUESTION A

Using calculators, the probability will be:

QUESTION B

Using calculators, the probability will be:

QUESTION C
First find the hypotenuse of the right triangle bases.
a^2 + b^2 = c^2
4^2 + 6^2 = c^2
16 + 36 = c^2
52 = c^2
2√13 = c
Triangle bases:
A = (1/2) * b * h * 2
A = (1/2) * 4 * 6 * 2
<span>A = 24 ft^2
</span>
<span>Front Rectangle: Left side Rectangle Back Side Rectangle
</span>A = 8 * 2√13 = 16√13 ft^2 A = 4 * 4 = 32 ft^2 A = 6 * 8 = 48 ft^2
24 + 32 + 48 + 16√13 = Total area = 104 + 16√13 ft^2