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Sticky Note
Find an expression for the perimeter of a rectangle whose area is given by 2x^2 - 7x - 4?
  1. 6x + 10
  2. 6x - 6
  3. 3x - 3
  4. None of these
Explanation

Let's factor the area:

2x^2 - 7x - 4 = (2x + 1)(x - 4)

Assuming these are the length and width:

Length (L) = 2x + 1

Width (W) = x - 4

Perimeter = 2(L + W)

= 2(2x + 1 + x - 4)

= 2(3x - 3)

= 6x - 6

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