QQuestionAnatomy and Physiology
QuestionAnatomy and Physiology
The expression $s^{2}$ is used to calculate the area of a square, where $s$ is the side length of the square. What does the expression $(8 x)^{2}$ represent?
a. the area of a square with a side length of 8
b. the area of a square with a side length of 16
c. the area of a square with a side length of $4 x$
d. the area of a square with a side length of $8 x$
5. Students at a bake sale sell bags of cookies
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Step 1:: Identify the meaning of the given expression.
Therefore, we can infer that $(8x)^{2}$ also represents the area of a square, with some length related to $8x$ being the side length.
Step 2:: Analyze the expression further.
This means that the expression represents the product of $8x$ and $8x$.
Step 3:: Compare the factored expression to the area of a square.
\sqrt{(8x) \times (8x)} = 8x
In a square, the side length is the square root of the area. We can write this as:
Step 4:: Determine the correct answer choice.
d. the area of a square with a side length of $8x$ $\Rightarrow$ Correct, since the area of a square is the side length squared, the area is $(8x)^{2}$.
Final Answer
The correct answer choice is d. the area of a square with a side length of $8x$.
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