The shape is composed of three squares in two semicircles select others when is the correctly calculate the perimeter of the shape

A) 40 + 20pi

B) 80 + 20 pi

C) 120 + 20 pi

D) 300 + 100 pi

E) 10+10+10+10pi+10+10pi

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The perimeter of the shape  is 40 + 20π. Option A is correct

The formula for calculating the perimeter of a semicircle is expressed as:

The radius of the semicircle is 10

A = 10π

For 2 semicircle, the perimeter will be 20π

The perimeter of the squares will be 4L

Since L = 10

Perimeter P = 10(4) = 40 units

Perimeter of the shape  = perimeter of the square + area of the semicircle

Perimeter of the shape = 40 + 20π

Hence the  perimeter of the shape  is 40 + 20π

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Given:

Composite figure made of 3 squares and 2 semicircles

To find:

The perimeter of the shape.

Solution:

The reference image is attached below.

Side length = 10 units

Side length of square = radius of semicircle

Perimeter of semicircle = πr + 2r

In the image, diameter of semicircle is merged with side of square.

So remove 2r from the formula:

Perimeter of semicircle = πr

                                       = 10π

Perimeter of the shape = 10 + 10 + 10π + 10 + 10 + 10π

                                       = 40 + 20π

The perimeter of the shape is 40 + 20π.

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Step-by-step explanation:

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