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Please help porfavor

Please help porfavor-example-1

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Answer:

x = 1.52

Explanation:

I don't know if there is a specific way to solve this problem, but I will just do it the complicated way, sorry haha...

Follow these steps.

1. Create a formula to solve the problem

- The question is basically saying when is the area of the rectangle equal to the area of the circle?

- To make a formula for this, let's identify the equation for the Area for both figures and THEN set them equal to each other.

Area of a Rectangle = Length x Width

Area of a Circle = πr²

Setting them equal to each other ⇒ Length x Width = πr²

This will be the formula we use ..

2. Plug in all the information

Length = 4x - 2

Width = x + 8

r (radius of the circle) = x + 2

Put all these small expressions in the equation we made.

Final equation: (4x - 2) × (x + 8) = π( x + 2)²

3. Now solve!

4X² + 32x - 2x - 16 = π × (x² + 4x + 4)

Keep solving! (But to make things easier, let's just use 3.14 instead of the whole number for pi)

4x² + 30x - 16 = 3.14( x² + 4x + 4)

4x² + 30x - 16 = 3.14x² + 12.56x + 12.56

Combine like terms

0.86x² + 17.44x - 28.56 = 0

4. Trial and Error

- I'm going to plug in all the answers in our magic equation to see what fits. (I won't show this because it's messy)

Final answer: x = 1.52

Yikes! That problem was so messy, but we did it! Let me know if you have questions about my process and I'll explain further.

:)

User Nedblorf
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