To find the area of a rectangle, we use the formula:
\[ \text{Area} = \text{length} \times \text{width} \]
In this case, Natalia's area rug measures 57 inches by 41 inches. Therefore, the area can be found by multiplying these two dimensions:
\[ \text{Area} = 57 \times 41 \]
None of the provided options directly express this multiplication, but we can analyze the options to see if any could represent the area in some way.
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Option A: \( 49^2 + 8^2 \)
This expression does not relate to the area of a rectangle. -
Option B: \( 57^2 - 41^2 \)
This expression can be evaluated using the difference of squares formula, but it does not directly give the area. -
Option C: \( 49^2 - 8^2 \)
This expression also does not relate to the area of the rug. -
Option D: \( 57^2 + 41^2 \)
This expression calculates the sum of the squares of the dimensions but does not correspond to the area.
Since none of the options directly allow you to compute the area using the length and width as required, it looks like they are irrelevant for calculating the area.
However, if we have to choose the expression that most closely relates calculations involving the given dimensions, none of them directly give the area, and the correct calculation to use for area (57 x 41) isn’t one of the options listed.
Thus, none of the options provide a correct method for calculating the area of the rug.
7 answers