You want to create an open rectangular box from a rectangular piece of cardboard. The cardboard has length 14 in and you want to cut 2 in squares from each corner. Draw a diagram. What is the length of the box?

consider that

2+10+2 = 14

The 2" sides are folded up, leaving the length=10.

To create an open rectangular box from a rectangular piece of cardboard, you need to follow these steps:

Step 1: Gather the measurements:
- Length of the cardboard = 14 in
- Width of the cardboard = x in (unknown)

Step 2: Identify the dimensions of the cut-outs:
- Each corner will have a 2 in by 2 in square cut out, meaning that both the length and width of the box will be reduced by 2 inches.

Step 3: Draw a diagram:
To visualize this, you can draw a rectangle representing the cardboard and mark the 2 in by 2 in squares at each corner. Here's a simple diagram to help you understand:

Before cutting:
+------------+
| |
| |
| |
| |
| |
+------------+

After cutting:
+-----+ +-----+
| | | |
| | | |
| | | |
| | | |
| | | |
+-----+ +-----+

Step 4: Calculate the length of the box:
Since two 2-inch squares are removed from the cardboard, the length of the box will be reduced by 2*2 = 4 inches.
Therefore, the length of the box will be 14 - 4 = 10 inches.

To understand the process of creating an open rectangular box from a rectangular piece of cardboard, follow these steps:

1. Start with a rectangular piece of cardboard with a length of 14 inches. Let's represent this with a straight horizontal line.

_______________

2. Cut 2 inches squares from each corner of the cardboard. This means that you will remove a 2-inch by 2-inch square from each corner of the cardboard.

_________
| 2 inch |
| square |
| |
____|_________|_____

3. After cutting the squares, you will be left with the remaining edges of the cardboard. Connect the edges to form the sides of the box. These edges will form a rectangle.

_________
| |
| |
| |
____|_________|_____

4. To determine the length of the box, measure the remaining length of the cardboard that is now connected at the corners. In this case, you will measure the length between the two remaining ends.

_________
| |
| |
| |
____|_________|_____
x

The length of the box is represented by 'x'. To find out its value, we need to calculate it.

Given that the original length of the cardboard was 14 inches, and we removed two 2-inch squares from each corner, the remaining connected length would be 14 inches minus 4 inches (2 inches on each side).

So, the length of the box (x) would be 14 inches - 4 inches = 10 inches.

Therefore, the length of the box is 10 inches.