Question

Janet has a square-shaped sheet of wrapping paper. To cover the top of a box, she cuts off 11 centimeters of the sheet along the width. The new area of the sheet is given by the expression below, where x represents the length, in centimeters, of the sheet of wrapping paper before being cut.

x^2-11x
Which statement best describes the term 11x?

the area cut from the sheet of wrapping paper
the area of the sheet of wrapping paper after being cut
the area of the sheet of wrapping paper before being cut
the width of the sheet of wrapping paper after being cut

Answer 1

x² represents the area of the original sheet of wrapping paper. This would be a square that is x units long and x units wide. 11x would be the area of the section she cut off; she cut off 11 cm from the width, so the width of the piece cut off is 11, and the length of the piece she cut off is still x. The area of a rectangle is given by width * length; in this case 11*x or 11x.
The expression she has, x² - 11x, represents the area of the sheet of wrapping paper after she's cut it.

Answer 2

The correct option is 1. It means 11x is the area cut from the sheet of wrapping paper.

Explanation:

The shape of sheet is square.

Let x represents the length, in centimeters, of the sheet of wrapping paper before being cut.

The area of a square is

`A=a* a`

Where, a is side length.

The area of sheet before being cut is

`A=x* x=x^2`

The width of the piece cut from the sheet is 11 and length is x. So, the area of piece is

`A=x* 11=11x`

The remaining area of sheet is

`A=\text{Area of sheet}-\text{Area of piece cut from the sheet}`

`A=x^2-11x`

Therefore correct option is 1. It means 11x is the area cut from the sheet of wrapping paper.