To make a cell phone protector, a company uses plastic rectangles 6 centimeters by 10 centimeters. Then squares x centimeters wide are cut from each corner. Use the drop-down menus below to complete statements using words and symbols to describe the area in square centimeters of the remaining plastic. The area of the remaining plastic is given by the difference: The area of the remaining plastic is given by the difference: cm² – cm².

To find the area of the remaining plastic after cutting squares from each corner, we need to start with the area of the original rectangle and subtract the area of the four corners that are removed.

1. Area of the original rectangle:

The area ( A ) can be calculated using the formula for the area of a rectangle:

[

A = text{length} times text{width} = 10 , text{cm} times 6 , text{cm} = 60 , text{cm}^2.
]

2. Area of the squares cut from the corners:

Each square cut from the corners has an area of ( x^2 ) (since area of a square is side length squared). There are 4 squares, so:

[

text{Total area of squares} = 4 times x^2 , text{cm}^2.
]

3. Area of the remaining plastic:

Now, we find the area of the remaining plastic by subtracting the area of the squares cut from the original area:

[

text{Remaining area} = 60 , text{cm}^2 – 4x^2 , text{cm}^2.
]

Thus, we can fill in the statement:

The area of the remaining plastic is given by the