As we can see on the picture we have a rectangle and half of circle.
The areas for half circle and rectangle are:
[tex]
A_{rectangle}=a\cdot b \\
A_{halfcircle}=\frac{A_{circle}}{2}=\frac{\pi r^2}{2}
[/tex]
The area of the figure is the sum of the area of half circle and rectangle. Also the height of a rectangle (6ft) is a diameter of a half circle therefore the radius of half circle is 6ft ÷ 2 = 3ft.
Now we calculate the areas.
[tex]
A_{rectangle}=10\cdot 6=\underline{60} \\
A_{halfcircle}=\frac{3.14\cdot3^2}{2}=\underline{14.13} \\
A_{total}=A_{rectangle}+A_{halfcircle} =60+14.13=\boxed{74.13\approx74}
[/tex]
The area of the figure is approximately 74ft squared.
Hope this helps.
r3t40
