To find the area of the beach towel that measures 28 ft by 16 ft using the difference of two squares, we need to express the area in the form \(a^2 - b^2 = (a + b)(a - b)\).
The area of a rectangle is given by the formula: \[ \text{Area} = \text{length} \times \text{width} = 28 \times 16. \]
However, we want to manipulate this into a form that utilizes the difference of squares. Notice that 28 and 16 can be rewritten as:
- \(28 = 22 + 6\)
- \(16 = 22 - 6\)
Now, we can rewrite the area expression using the difference of squares: \[ 28 \times 16 = (22 + 6)(22 - 6). \]
Thus, the correct response to find the area of the beach towel using the difference of two squares is: \[ (22 + 6)(22 - 6). \]
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