[tex] \large\underline \bold{{SOLUTION}}[/tex]
We will breakdown the figure , notice that if we add a semi circle on the left side , then it will form a circle. Now , We will just divide the area of the circle by 2 then add to the area of the rectangle.
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[tex]\sf{1/2(Area_{circle})+Area_{rectangle}=Area_{figure}}[/tex]
[tex]\sf{1/2(πr²)+LW=Area_{figure}}[/tex]
The diameter is 12 , so the radius is 6
[tex]\sf{1/2(πr²)+LW=Area_{figure}}[/tex]
[tex]\sf{1/2(π6²)+(12)(16)=Area_{figure}}[/tex]
[tex]\sf{1/2(36π)+192=Area_{figure}}[/tex]
[tex]\sf{18π+192=Area_{figure}}[/tex]
assuming that π be 3.14
[tex]\sf{18(3.14)+192=Area_{figure}}[/tex]
[tex]\sf{56.52+192=Area_{figure}}[/tex]
[tex]\boxed{\sf{ 248.52ft²=Area_{figure}}}[/tex]
[tex] \large\underline{ \bold{ANSWER}}[/tex]
- The Area of the figure is approximately 248.52ft²
