Question

What is the area (in square feet) of the shaded region? *​

Answer 1

Option 2

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 =
`(1)/(2)\pi r^2`

Here, r = radius of the semicircle

From the picture attached,

Radius of the semicircle =
`(14)/(2)`

= 7 feet

Therefore, area of the semicircle =
`(1)/(2)(\pi )(7)^2`

= 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.