Answer and Step-by-step explanation:
Yes, all of your calculations are correct!!
The area of one rectangle is 192, and since there are 2 rectangles, we multiply 192 by 2, which results in 384.
The area of a triangle is [tex]A = \frac{(Height)(Base)}{2}[/tex], which you got to be 96.
The Semi Circle would have half of the area of a circle, so you are correct when you multiply the equation by [tex]\frac{1}{2}[/tex].
To find that diameter, we need to use the Pythagorean Theorem.
[tex]12^{2} + 16^{2} = d^{2} \\\\144 + 256 = d^{2} \\\\400 = d^2\\\\d = 20[/tex]
So the diameter is 20, and the radius is 10 (20 divided by 2 = radius).
Plug that into the equation, and you get the answer to be [tex]50\pi[/tex], or 157.0796327.
157.0796327 + 384 + 96 = 637.08 (rounded to the nearest hundredth).
Good job!
#teamtrees #PAW (Plant And Water)
