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Gekata [30.6K]
4 years ago
7

This figure consists of a rectangle and a

Mathematics
1 answer:
defon4 years ago
3 0

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

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

we have

r=8\ cm\\\pi=3.14\\L=17\ cm\\W=10\ cm

substitute

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

P=12.56+54=66.56\ cm

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