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
Roztwór
Julián
élite · Tutor durante 8 años
4.7
(137 Votos)
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
.