Respuesta :

evgeniylevi
Try this option:
1. for the semicircle p₁=πr=3.1415*3≈9.4248 cm., where r=3 radius of the semicircle;
for the rectangle p₂=4*2+6=14 cm.
2. totaly: p=p₁+p₂=14+9.4248≈23.4248 cm.

answer: 23.42 cm.
calculista

Answer:

The perimeter of the figure is [tex]23.42\ cm[/tex]

Step-by-step explanation:

we know that

The perimeter of the figure is equal to the perimeter of the rectangle plus the circumference of a semicircle minus the length of [tex]6\ cm[/tex]

Step 1

Find the perimeter of rectangle

The perimeter of rectangle is equal to

[tex]P=2(L+W)[/tex]

In this problem we have

[tex]L=6\ cm[/tex]

[tex]W=4\ cm[/tex]

substitute

[tex]P=2(6+4)=20\ cm[/tex]

Step 2

Find the circumference of a semicircle

The circumference of a semicircle is equal to

[tex]C=\pi r[/tex]

we have

[tex]r=6/2=3\ cm[/tex] -----> the radius is half the diameter

substitute

[tex]C=3\pi\ cm[/tex]

Step 3

Find the perimeter of the figure

[tex]20\ cm+3\pi\ cm-6\ cm=(20+3.14*3-6)=23.42\ cm[/tex]


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