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.