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
Solução

3.3321 Voting

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
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
Clique para avaliar: