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Daniel draws a square that measures x centimeters on each side. The area in square centimeters of the square equals twice its perimeter in centimeters. Which equation can be solved to find x? A x^2+8x=0 B x^2-6x=0 C x^2+6x=0 D x^2-8x=0

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Julián élite · Tutor durante 8 años
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Respuesta

The correct equation to solve for is , which corresponds to option D.

Explicación

## Step 1The problem involves a square with side length . The area of a square is calculated by squaring the side length, which gives us .## Step 2The perimeter of a square is calculated by multiplying the side length by 4, which gives us .## Step 3According to the problem, the area of the square is twice its perimeter. This can be represented by the equation \(x^2 = 2(4x)\).## Step 4Simplify the equation to .## Step 5Rearrange the equation to .