Find an expression for the perimeter of a rectangle whose area is given by 2x^2 - 7x - 4?
Answer: 6x - 6
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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