Question #d6456c7a - SAT Suite Question Bank

Modded SAT Question Bank by Abdullah Mallik

A certain park has an area of $11,863,808$ square yards. What is the area, in square miles, of this park? $left parenthesis 1 mile equals 1,760 yards right parenthesis$

$1.96$
$3.83$
$3,444.39$
$6,740.8$

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Correct Answer: B

Rationale

Choice B is correct. Since $1$ mile is equal to $1,760$ yards, $1$ square mile is equal to $1,760 squared$ , or $3,097,600$ , square yards. It’s given that the park has an area of $11,863,808$ square yards. Therefore, the park has an area of $left parenthesis 11,863,808 square yards right parenthesis left parenthesis StartFraction 1 square mile Over 3,097,600 square yards EndFraction right parenthesis$ , or $StartFraction 11,863,808 Over 3,097,600 EndFraction$ square miles. Thus, the area, in square miles, of the park is $3.83$ .

Choice A is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect. This is the square root of the area of the park in square yards, not the area of the park in square miles.

Choice D is incorrect and may result from converting $11,863,808$ yards to miles, rather than converting $11,863,808$ square yards to square miles.

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