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Geometry and Trigonometry / Area and volume Difficulty: Easy

What is the area of a rectangle with a length of $4 centimeters left parenthesis cm right parenthesis$ and a width of $2 cm$ ?

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Explanation

Choice B is correct. The area of a rectangle with length $l$ and width $w$ can be found using the formula $A = l w$ . It’s given that the rectangle has a length of $4 cm$ and a width of $2 cm$ . Therefore, the area of this rectangle is $left parenthesis 4 cm right parenthesis left parenthesis 2 cm right parenthesis$ , or $8 cm squared$ .

Choice A is incorrect. This is the sum, $in cm$ , of the length and width of the rectangle, not the area, $in {cm}^{2}$ .

Choice C is incorrect. This is the perimeter, $in cm$ , of the rectangle, not the area, $in {cm}^{2}$ .

Choice D is incorrect. This is the sum of the length and width of the rectangle squared, not the area.