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Area and volume SAT question

Math · Geometry and Trigonometry · Easy · Answer it here, explanation included.

A rectangle has a length of and a width of . What is the perimeter of the rectangle?

ExplanationShow

Choice C is correct. The perimeter of a quadrilateral is the sum of the lengths of its four sides. It's given that the rectangle has a length of and a width of . It follows that the rectangle has two sides with length and two sides with length . Therefore, the perimeter of the rectangle is , or .

Choice A is incorrect. This is the sum of the lengths of the two sides with length , not the sum of the lengths of all four sides of the rectangle.

Choice B is incorrect. This is the sum of the lengths of the two sides with length , not the sum of the lengths of all four sides of the rectangle.

Choice D is incorrect. This is the perimeter of a rectangle that has four sides with length , not two sides with length and two sides with length .

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