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Karen is adding a border to a rectangular poster. The border will have a uniform width of X inches and run along all four sides, so Karen uses the functions land wto model the length and width, in inches, of her poster after she adds the border. l(x) = 2x+ 18 W(x) = 2x+ 24 Which function correctly represents the total area, in square inches, of Karen's poster, when a border x inches wide is included in the area?

A. A(X) = 4x + 432

B. A(X) = 4x2 + +42x + 432

C. A(x) = 4x2 + +84x + 432

D. A(x) = 4x + 432​

1 Answer

5 votes

Answer:

  • B. A(x) = 4x² + 42x + 432

Explanation:

The area is the product of the width and the length:

  • A(x) = (2x + 18)(2x + 24) = 4x² + 42x + 432

Correct choice is B

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