Question

Picture listed below help.

Answer 1

Perimeter = 65.12 inches, Area = 292.48 square inches

Explanation:

Perimeter:

Total perimeter = perimeter of semicircle + perimeter of rectangle (note: excluding the shared line, since that is not on the outside of the shape).

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

=
`(1)/(2) *2*3.14*8`

= 25.12

Perimeter = 25.12 + 12 + 12 + 16 = 65.12 inches

Area:
Total area = area of semicircle + area of rectangle

Area of semicircle =
`(1)/(2) \pi r^(2)`

=
`(1)/(2) *3.14* 8^(2)`

= 100.48

Area of rectangle = l * w

= 16 * 12

= 192

Total area = 100.48 + 192 = 292.48