Answer:
Option 2
Step-by-step explanation:
Area of the shaded region = Area of rectangle - Area of semicircles sliced off along the width of the rectangle
Area of rectangle = Length × Width
= 34 × 14
= 476 square feet
Area of the semicircle = [tex]\frac{1}{2}\pi r^2[/tex]
Here, r = radius of the semicircle
From the picture attached,
Radius of the semicircle = [tex]\frac{14}{2}[/tex]
= 7 feet
Therefore, area of the semicircle = [tex]\frac{1}{2}(\pi )(7)^2[/tex]
= 76.97 square feet
Area of the shaded region = 476 - 2(76.97)
= 476 - 153.94
= 322.06 square feet
Option (2) will be the answer.
