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Geometry and Trigonometry Difficulty: Easy

The area of a rectangle is $630$ square inches. The length of the rectangle is $70$ inches. What is the width, in inches, of this rectangle?

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Explanation

Choice A is correct. The area $A$ , in square inches, of a rectangle is the product of its length $l$ , in inches, and its width $w$ , in inches; thus, $A = l w$ . It's given that the area of a rectangle is $630$ square inches and the length of the rectangle is $70$ inches. Substituting $630$ for $A$ and $70$ for $l$ in the equation $A = l w$ yields $630 equals 70 w$ . Dividing both sides of this equation by $70$ yields $9 equals w$ . Therefore, the width, in inches, of this rectangle is $9$ .

Choice B is incorrect. This is the length, not the width, in inches, of the rectangle.

Choice C is incorrect. This is half the area, in square inches, not the width, in inches, of the rectangle.

Choice D is incorrect. This is the difference between the area, in square inches, and the length, in inches, of the rectangle, not the width, in inches, of the rectangle.