Question

The figure is made up of two shapes, a semicircle and a rectangle.

What is the exact perimeter of the figure?

3π+12 mm

6π+12 mm

6π+18 mm

3π+18 mm

Answer 1

believeAnswer: (3π+12) mm

Step-by-step explanation: a is the correct answer 100 percent sure I am on k12 and I took the quiz Circumference and Perimeter Applications if you still don't belive me here is proof

Answer 2

`(3 \pi+12)\ mm`

Explanation:

we know that

The perimeter of the figure is equivalent to the perimeter of a rectangle plus the perimeter of semicircle minus the length side of
`6` mm

step 1

Find the perimeter of rectangle

the perimeter of rectangle is equal to

`P=2(b+h)`

we have

`b=6\ mm`

`h=3\ mm`

substitute

`P=2(6+3)=18\ mm`

step 2

Find the circumference of semicircle

the of circumference of semicircle is equal to

`C=(1)/(2)\pi D`

we have

`D=6\ mm`

substitute

`C=(1)/(2)\pi (6)=3 \pi\ mm`

step 3

Find the perimeter of the figure

`18\ mm+3 \pi\ mm-6\ mm=(3 \pi+12)\ mm`