Question

the perimeter of a rectangle is 40 cm. the width is 14 cm. let x= length of rectangle. use the model 2(x+14) = 40 to solve.

Answer 1

To solve for the length \( x \) of the rectangle using the equation \( 2(x + 14) = 40 \), we can follow these steps:

1. **Distribute the 2**:
\[
2(x + 14) = 40
\]
\[
2x + 28 = 40
\]

2. **Subtract 28 from both sides**:
\[
2x + 28 - 28 = 40 - 28
\]
\[
2x = 12
\]

3. **Divide both sides by 2**:
\[
x = \frac{12}{2}
\]
\[
x = 6
\]

So, the length of the rectangle is \( 6 \) cm.