## Geometry: Common Core (15th Edition)

$29,054.0\ ft^2$
The two half circles form a full circle. Find the area of a circle whose diameter is 100 ft. $r=\frac{1}{2}d=\frac{1}{2}(100)=50$ use the area formula $A=\pi r^2=\pi (50^2)=2500\pi=7854.0$ Find the area of the rectangular portion. $A=bh=212(100)=21200$ Use the Area Addition Postulate $A=7854.0+21200=29054.0$