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The area of a rectangle is x^2 + 7x + 6. What is the perimeter of this rectangle?

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Answer:

4x +14

Explanation:

We presume the intention is that you factor the expression, then consider those factors to be the side lengths of the rectangle. The perimeter will be double the sum of those side lengths.

x^2 +7x +6 = (x +1)(x +6)

for side lengths (x+1) and (x+6), the rectangle will have a perimeter of ...

P = 2((x +1) +(x +6)) = 2(2x +7)

P = 4x +14

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