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A(x)=(8+2x)^(2)
Carmen wants to add a border around a square picture. The function shows the area of the picture in square inches if it has a border 
x inches wide. What are the dimensions of the picture without the border?
Choose 1 answer:
(A) 2 by 2 inches
(B) 6 by 6 inches
(C) 8 by 8 inches
(D) 10 by 10 inches

A(x)=(8+2x)2 A(x)=(8+2 x)^{2} \newlineCarmen wants to add a border around a square picture. The function shows the area of the picture in square inches if it has a border x x inches wide. What are the dimensions of the picture without the border?\newlineChoose 11 answer:\newline(A) 22 by 22 inches\newline(B) 66 by 66 inches\newline(C) 88 by 88 inches\newline(D) 1010 by 1010 inches

Full solution

Q. A(x)=(8+2x)2 A(x)=(8+2 x)^{2} \newlineCarmen wants to add a border around a square picture. The function shows the area of the picture in square inches if it has a border x x inches wide. What are the dimensions of the picture without the border?\newlineChoose 11 answer:\newline(A) 22 by 22 inches\newline(B) 66 by 66 inches\newline(C) 88 by 88 inches\newline(D) 1010 by 1010 inches
  1. Understanding A(x): Understand the function A(x) and what it represents.\newlineThe function A(x)=(8+2x)2A(x) = (8 + 2x)^2 represents the area of the picture including the border. The term 8\text{“}8\text{”} represents the side length of the picture without the border, and 2x\text{“}2x\text{”} represents the total added length due to the border (xx inches on each side).
  2. {

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