Question

Natalia has an area rug measuring 57 inches by 41 inches. Which of the following expressions can she use to find the area of the rug?(1 point)
Responses

492−82
49 squared minus 8 squared

572−412
57 squared minus 41 squared

572+412
57 squared plus 41 squared

492+82

Answer 1

To find the area of a rectangle, you multiply its length by its width. In this case, the area of Natalia's rug can be calculated using the formula:

Area = Length × Width

For the rug measuring 57 inches by 41 inches, the area can be calculated as:

Area = 57 inches × 41 inches

None of the provided expressions directly calculate the area using multiplication. However, to determine which expressions may relate to the area calculation, let's analyze them:

1. \( 49 - 82 \) (Not related to area)
2. \( 57^2 - 41^2 \) (This expression resembles a difference of squares but does not represent area)
3. \( 57^2 + 41^2 \) (Mixture of squares, not relevant for area)
4. \( 49 + 82 \) (Not related to area)

None of these expressions directly give the area of the rug. The correct expression for area would be \( 57 \times 41 \), which is not listed among the answers.

However, if you're specifically looking for an expression that relates to a form of area calculation, the closest concept is \( 57^2 - 41^2 \), but again, that does not directly equal the area.

So, none of the provided options accurately represent the expression for finding the area of the rug.