Question

Given the following rectangle and circle, at what approximate value of x are the two areas equal? Show work and explain all steps.

Answer 1

Answer:

x ≈ 1.28

Step-by-step explanation:

I just took the exam:

Area of rectangle =(3x-1)(x+6), Area of circle = PI(x+1)^2. If you graph these and find where they intersect, you will get x ≈ 1.28.

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Answer 2

The value of x for the two areas to be equal is 167.

Area

Area is the amount of space occupied by a two dimensional object.

The area of the rectangle = length * width = (3x - 1)(x + 2) = 3x² + 5x - 2

Area of circle = π * radius² = π(x - 3)² = πx² - 6πx + 9π

To find x:

πx² - 6πx + 9π = 3x² + 5x - 2

x = 167

The value of x for the two areas to be equal is 167.

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