96.9k views
2 votes
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

User Camposer
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories