Answer:
A: 65.1 in^2
Step-by-step explanation:
To find the area of the compostite, first we must split it up into two shapes, whic the red dotted line does. The two shapes we get are a semi-circle and a traingle. To find the area of semi-circle use the equation, A=[tex]\pi[/tex][tex]r^{2}[/tex], the radius of the circle is half of the diameter or half that red dotted line (r=4in). Plug that radius into the equation and we get the area of the circle to be, 50.27, then divided that by 2 because it is a semi-circle or the area of the semi-circle is 25.1in^2. Now we find the area of the triangle, which the equation is (b*h)/2. The base is easy, 8in, and the height can be found by subtracting the circle radius (4in) from the measurement on the side(14in), so our height is 10in. Plugging that into out equation, our triangle are is 40in^2. Adding the area of the traingle and the area of the circle, we get the area of the composite to be 65.1 in^2
