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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

$A(x)=(8+2 x)^{2}$ $\newline$ 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? $\newline$ Choose $1$ answer: $\newline$ (A) $2$ by $2$ inches $\newline$ (B) $6$ by $6$ inches $\newline$ (C) $8$ by $8$ inches $\newline$ (D) $10$ by $10$ inches

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Scale drawings: word problems

Full solution

Q.

A(x)=(8+2 x)^{2}

\newline

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?

\newline

Choose

1

answer:

\newline

(A)

2

by

2

inches

\newline

(B)

6

by

6

inches

\newline

(C)

8

by

8

inches

\newline

(D)

10

by

10

inches

Understanding A(x): Understand the function A(x) and what it represents. $\newline$ The function $A(x) = (8 + 2x)^2$ represents the area of the picture including the border. The term $\text{“}8\text{”}$ represents the side length of the picture without the border, and $\text{“}2x\text{”}$ represents the total added length due to the border ( $x$ inches on each side).
{

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\newline

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s=-11.8(t-1.2)^{2}+17

\newline

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\newline

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5

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Mindy is a sculptor. She has a cylinder of stone with a radius of

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and a height of

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A cylindrical soda can has a volume of

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\left(\mathrm{cm}^{3}\right)

and a height of

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\newline

1

\newline

18 \pi \mathrm{cm}^{2}

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36 \pi \mathrm{cm}^{2}

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\mathrm{Cleo}

are looking for a location to open their new yoga studio. A fellow studio owner suggests a location that will fit

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x

3

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\newline

1

\newline

1

\newline

3

\newline

9

\newline

27

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Morgan is designing a rectangular quilt. The quilt will be

1 \frac{3}{5} \mathrm{~m}

wide and will have an area of

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\newline

How long is the quilt?

\newline

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\newline

4

\newline

5

\newline

6

\newline

7

\newline

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\newline

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