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The length of a rectangle is 6 inches longer than its width.The perimeter of the rectangle is 28 inches.It x represents the with of the rectangle In inches, which equation can be used to find its value? x+6+2x=28 6x+6x+x+x=28 2(x+6)=28 2(x+6)+2x=28

Pergunta

The length of a rectangle is 6 inches longer than its width.The perimeter of the rectangle is 28 inches.It x represents the
with of the rectangle In inches, which equation can be used to find its value?
x+6+2x=28
6x+6x+x+x=28
2(x+6)=28
2(x+6)+2x=28

The length of a rectangle is 6 inches longer than its width.The perimeter of the rectangle is 28 inches.It x represents the with of the rectangle In inches, which equation can be used to find its value? x+6+2x=28 6x+6x+x+x=28 2(x+6)=28 2(x+6)+2x=28

Solução

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AidêMestre · Tutor por 5 anos

Responder

The correct equation is 2(x + 6) + 2x = 28.

Explicação

## Step 1
The problem provides us with the following information:
- The length of the rectangle is 6 inches longer than its width.
- The perimeter of the rectangle is 28 inches.

We are asked to find an equation that represents the width of the rectangle, denoted as x.

## Step 2
The formula for the perimeter of a rectangle is given by:
### P = 2L + 2W
where P is the perimeter, L is the length, and W is the width.

## Step 3
Given that the length is 6 inches longer than the width, we can express the length as x + 6.

## Step 4
Substituting the expressions for the length and width into the perimeter formula, we get:
### 2(x + 6) + 2x = 28
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