If the width of a rectangular piece of carpet is 2x + 1 yards and the length is three yards less than twice as long as the width, what is the area of the carpet?
A. 6x² + 2x – 1
B. 8x² + 2x – 1
C. 8x² – 2x – 1
D. 8x² + 6x – 1
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OpenStudy (anonymous):
not sure if its a
OpenStudy (anonymous):
no not a
OpenStudy (anonymous):
hmmm B?
OpenStudy (anonymous):
why do you say B? Are you just going to keep going until i let you know if you're right or wrong lol
OpenStudy (anonymous):
pretty much ahhaa
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OpenStudy (anonymous):
alright well lets work this out. area is b*h (base * height) correct or Length * width as in this example
OpenStudy (anonymous):
we know width is 2x+1
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
and the length is 3 less than 3 times the width. so if you write that out it looks like this 3(2x+1)-3
OpenStudy (anonymous):
simplify that for me so I know you're paying attention lol
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OpenStudy (anonymous):
6x + 3 - 3
OpenStudy (anonymous):
im sorry I meant twice as long not 3 times my fault so 2(2x+1)-3
OpenStudy (anonymous):
4x + 2 - 3
OpenStudy (anonymous):
simplify it further. what's 2-3
OpenStudy (anonymous):
4x + -1
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OpenStudy (anonymous):
right which is basically 4x-1
OpenStudy (anonymous):
true
OpenStudy (anonymous):
so now you have width=2x+1 and length=4x-1. now how does that other formula go again? L*W
OpenStudy (anonymous):
8x
OpenStudy (anonymous):
(2x+1)(4x-1) multiply them Cello
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OpenStudy (anonymous):
Do you know FOIL
OpenStudy (anonymous):
no aahahahahaha im retarded
OpenStudy (anonymous):
OK listen close FOIL is super important I'm in college now and I still use it. FOIL stand for First Outside Inside Last