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lana66690 [7]
3 years ago
15

PLEASE HELP!!!

Mathematics
1 answer:
rosijanka [135]3 years ago
8 0

Answer:

Area of the other polygon = 4 in.²

Step-by-step explanation:

Area of the bigger polygon : Area of the smaller polygon = square of the side length of the bigger polygon : square of the corresponding side length of the smaller polygon

Let "x" represent the area of the smaller polygon

Thus, we have:

100/x = 20²/4²

100/x = 400/16

100/x = 25

Cross multiply

25x = 100

Divide both sides by 25

25x/25 = 100/25

x = 4

Area of the other polygon = 4 in.²

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Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

we know that

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To determine the total red area, we use the formula for area of the circle

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step 1

Find the Area of the 1st red circle

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step 2

Find the Area of the 2nd white circle

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A_2=\pi (2)^{2}=4\pi\ units^2

step 3

Find the Area of the 3rd red circle

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A_3=\pi (3)^{2}=9\pi\ units^2

step 4

Find the Area of the 4th white circle

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step 5

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substitute

A=25\pi-16\pi+9\pi-4\pi+\pi

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