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Semmy [17]
2 years ago
15

Find the area of the shaded region. Express your answer in terms of π.

Mathematics
1 answer:
Bogdan [553]2 years ago
6 0

Answer:

335.115

Step-by-step explanation:

First you find the area of the circles to do that you do pi times radius squared

For the top square do 3.14(pi)time 3²=28.26

For the middle square do 3.14 times 4.5²=63.585

For the bottom square do 3.14 times 6²=113.04

Now find the area of the entire thing do 18×12+9+6+3=18×30=540

Finally do 540-the area of the squares 28.26-63.585-113.04= 335.115

So the shaded region is 335.115

Hope this helps and have a great day!

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balandron [24]

Hi! I'm happy to help!

Our total line is JL (4x), and it is split into two parts: JK, and KL. We have our values, and we know that JK+KL=JL, so we can substitute our values and solve for x:

4x=(2x+3)+(x)

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To solve for x, we have to isolate it on one side of the equation.

First, let's subtract 3x from both sides so that we can isolate x:

4x=3x+3

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<u>So, our x=3, which means that KL=3.</u>

I hope this was helpful, keep learning! :D

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