Answer:
Area: 776.7 ft²
Perimeter: 55.1 ft
Step-by-step explanation:
The figure is composed of two semi-circles and a rectangle, solve for the area of each figure:
Two semi-circles (which is one circle because they have the same diameter):
[tex]A_1=\pi r^2\\A_1=\pi 7.5^2\\A_1=176.714586764...[/tex]
The rectangle:
[tex]A_2=bh\\A_2=4*15\\A_2=60[/tex]
Add them up to get:
[tex]A=176.714586764...+600\\A=776.714586764...[/tex]
Rounding gives 776.7
Now, the perimeter.
Solve for the circumference of the circle and add only the bases of the rectangle:
[tex]C=d\pi \\C=15\pi\\C=47.1238898038...[/tex]
And add the two bases:
[tex]P=47.1238898038...+2b\\P=47.1238898038...+2(4)\\P=47.1238898038...+8\\P=55.1238898038...[/tex]
Rounding gives 55.1
And don't forget to put the units.
