APPLICATION A shopkeeper is redesigning the rectangular sign on her stores rooftop. She

Chapter 9, Problem 10

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APPLICATION A shopkeeper is redesigning the rectangular sign on her stores rooftop. She wants the largest area possible for the sign. When she considers adding an amount to the width, she subtracts that same amount from the length. Her original sign has width 4 m and length 7 m. a. Complete the table. b. How do the changes in width and length affect the perimeter? c. How do the changes in width and length affect the area? d. Write an equation in factored form for the area A of the rectangle in terms of x, the amount she adds to the width. e. What are the dimensions of the rectangle with the largest area?

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