Answer:



Step-by-step explanation:
<u>Given:</u>



<u>Solve for </u>
<u> in the 1st equation:</u>



<u>Substitute the value of </u>
<u> into the 2nd equation and solve for </u>
<u>:</u>






<u>Substitute the value of </u>
<u> into the 3rd equation and solve for </u>
<u>:</u>






<u>Plug </u>
<u> into the solved expression for </u>
<u> and evaluate to solve for </u>
<u>:</u>



<u>Plug </u>
<u> into the solved expression for </u>
<u> and evaluate to solve for </u>
<u>:</u>




Therefore:



Let us find the area of the triangle first.
6 x 8 / 2 = 24 ft²
Now we can do the semi circle. Note that it is a semi circle and not a circle.
1/2π(4²) = 8π = 25.12 ft²
Add the areas up to find the area for the figure.
24+25.12 = 49.12 ft²
80 is correct.
-440+360 = 80