Question

I am learning about the area and I'm having trouble with these questions. Would you be able to help with the questions but also help explain to me the questions? (maybe give some helpful tips?)

Answer 1

`\begin{gathered} A_1=56.52ft^(2) \\ A_2=139.2ft^(2) \\ TS=195.72ft^(2) \end{gathered}`

1) In this picture, we can discern a trapezoid, a triangle, and one semicircle.

2) Let's begin from top to bottom, figuring out the area of that semicircle. A semicircle is half the area of a circle, so we can write out the following formula:

`A=(\pi\cdot r^(2))/(2)=(3.14\cdot(6)^2)/(2)=56.52ft^(2)`

Note that the diameter of that semicircle is congruent to the side of the parallelogram. And the diameter is twice the radius, so the radius is 6 ft long.

As we were told, we're considering an approximation for the value of pi.

3) Now, let's move on to the parallelogram. The area of a Parallelogram is

`\begin{gathered} A=b\cdot h \\ A=12*11.6 \\ A=139.2ft^(2) \\ ---- \\ TS=139.2+56.52=195.72ft^(2) \end{gathered}`