a rectangular rug is placed on a rectangular floor. The width is 4 feet greater than the length, x, of the floor. The width of the rug is 2 feet less than the width of the floor. The length of the rug is 4 feet less than the width of the rug. Which function, R(x),represents the area of the floor not covered by the rug? A- R(x)= x^2-x+4 B-R(x)=2x^2+4x-4 C-R(x)=12x-4 D-R(x)=4x+4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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I really need help understanding this question, it's a word problem, I've had experience with this type of question, but a much simpler one.
"a rectangular rug is placed on a rectangular floor. The width is 4 feet greater than the length, x, of the floor. The width of the rug is 2 feet less than the width of the floor. The length of the rug is 4 feet less than the width of the rug. Which function, R(x),represents the area of the floor not covered by the rug?

A- R(x)= x^2-x+4

B-R(x)=2x^2+4x-4

C-R(x)=12x-4

D-R(x)=4x+4

please respond, I need to figure this out by tomorrow, thanks.

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