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This figure consists of a rectangle and a
quarter circle.
What is the perimeter of this figure?
Use 3.14 for
Enter your answer as a decimal in the box.​

This figure consists of a rectangle and aquarter circleWhat is the perimeter of this figureUse 314 forEnter your answer as a decimal in the box class=

Respuesta :

calculista

Answer:

The perimeter of this figure is 66.56 cm

Step-by-step explanation:

we know that

The perimeter of the figure is equal to the circumference of a quarter circle, plus the radius of the circle, plus the perimeter of rectangle minus the radius of the circle

so

The perimeter of the figure is equal to the circumference of a quarter circle, plus the perimeter of rectangle .

so

[tex]P=\frac{1}{4}[2\pi r]+2(L+W)[/tex]

we have

[tex]r=8\ cm\\\pi=3.14\\L=17\ cm\\W=10\ cm[/tex]

substitute

[tex]P=\frac{1}{4}[2(3.14)(8)]+2(17+10)[/tex]

[tex]P=12.56+54=66.56\ cm[/tex]

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