Question #97158b3a - SAT Suite Question Bank

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Modded SAT Question Bank by Abdullah Mallik

The area A, in square centimeters, of a rectangular painting can be represented by the expression $w left parenthesis w plus 29 right parenthesis$ , where $w$ is the width, in centimeters, of the painting. Which expression represents the length, in centimeters, of the painting?

$w$
$29$
$left parenthesis w plus 29 right parenthesis$
$w left parenthesis w plus 29 right parenthesis$

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Correct Answer: C

Rationale

Choice C is correct. It's given that the expression $w left parenthesis w plus 29 right parenthesis$ represents the area, in square centimeters, of a rectangular painting, where $w$ is the width, in centimeters, of the painting. The area of a rectangle can be calculated by multiplying its length by its width. It follows that the length, in centimeters, of the painting is represented by the expression $left parenthesis w plus 29 right parenthesis$ .

Choice A is incorrect. This expression represents the width, in centimeters, of the painting, not its length, in centimeters.

Choice B is incorrect. This is the difference between the length, in centimeters, and the width, in centimeters, of the painting, not its length, in centimeters.

Choice D is incorrect. This expression represents the area, in square centimeters, of the painting, not its length, in centimeters.

Question Difficulty:

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