Question

This figure consists of a rectangle and semicircle. What is the perimeter of this figure? Use 3.14 for pi. 19.42 cm 20.28 cm 23.42 cm 32.84 cm

Answer 1

The perimeter of the figure is
`23.42\ cm`

Explanation:

we know that

The perimeter of the figure is equal to the circumference of a semicircle plus the perimeter of a rectangle minus the length side of
`6\ cm`

step 1

Find the perimeter of a rectangle

`P=2(6+4)=20\ cm`

step 2

Find the circumference of a semicircle

The circumference of a semicircle is equal to

`C=\pi r`

we have

`r=3\ cm`

substitute

`C=(3.14)(3)=9.42\ cm`

step 3

Find the perimeter of the figure

`20\ cm+9.42\ cm-6\ cm=23.42\ cm`

Answer 2

The perimeter of the rectangle (according to the image) is the base × 2 added to the height × 2. 6 × 2 = 12, and 4 × 2 = 8, giving you 20cm. We have to subtract 6cm because that side is connected to the semicircle, so you get 14cm. The perimeter of the curved part of the circle is also known as the circumference, and the formula for that is π × diameter, which in this case is 6. We need to use 3.14 as pi, so 3.14 × 6 = 18.84. Because it's a semicircle, we need to divide by 2 to get 9.42cm. Now we just add them all up (9.42 + 14) to get your final answer as 23.42cm. I hope this helps! Sorry it was so long :)