To use the difference of two squares to find the area of the beach towel, we can analyze the dimensions of the towel, which are 28 ft and 16 ft.
The difference of squares formula is \( a^2 - b^2 = (a + b)(a - b) \). In this case, we want to express the area of the rectangle (which is length times width) in the form of a difference of squares.
Let's represent \( a \) and \( b \) using half the dimensions of the towel:
- Split 28 into two parts: \( 22 + 6 \) and \( 22 - 6 \)
- Split 16 into \( 22 + 16 \) and \( 22 - 16 \)
However, the best way to represent this in terms of the difference of two squares that match the dimensions of the towel directly isn't immediately apparent because we don't have squares that neatly split this way directly.
Given the option pairs and the requirement to represent the calculation of the area through \( (a + b)(a - b) \):
- B. (28 + 16) (28 - 16) is the correct answer since it represents adding the dimensions directly for the area by mixing. Here, you could think of this as a method of calculating the area using a conceptual framing of half values.
So, the correct answer would be:
B. (28 + 16) (28 - 16)
2 answers