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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

Problemas

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

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

Solución

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Juliánélite · Tutor durante 8 años
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4.7 (137 votos)

Responder

The correct equation to solve for \(x\) is \(x^2 - 8x = 0\), which corresponds to option D.

Explicar

## Step 1<br />The problem involves a square with side length \(x\). The area of a square is calculated by squaring the side length, which gives us \(x^2\).<br /><br />## Step 2<br />The perimeter of a square is calculated by multiplying the side length by 4, which gives us \(4x\).<br /><br />## Step 3<br />According to the problem, the area of the square is twice its perimeter. This can be represented by the equation \(x^2 = 2(4x)\).<br /><br />## Step 4<br />Simplify the equation to \(x^2 = 8x\).<br /><br />## Step 5<br />Rearrange the equation to \(x^2 - 8x = 0\).
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