60.9k views
1 vote
Please help porfavor

Please help porfavor-example-1

1 Answer

5 votes

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
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories