A
B
C
D
Explanation
Correct answer: C.
Choice C is correct. The area, , of a rectangle is given by the formula , where represents the length of the rectangle and represents its width. It's given that the rectangle has a length of inches and a width of inches. Substituting for and for in the formula yields , or . Thus, the area, in square inches, of the rectangle is .
Desmos solution:
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect. This is the sum, not the product, of the length and width of the rectangle.
Choice B
Choice B is incorrect and may result from conceptual or calculation errors.
Choice D
Choice D is incorrect. This is twice the area, in square inches, of the rectangle.