which expression is equivilent to the area of metal sheet required to make this square shape traffic sign one side is x+1 possible answers are
x2+2x+1
x2+x+1
x2+2x
x2+1
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OpenStudy (jdoe0001):
ok well, how many sides does a square have?
are the sides equal or do they differ in length?
OpenStudy (anonymous):
4 sides all equal
OpenStudy (jdoe0001):
yes so if one side is x+1, all other 3 sidses are also x+1
Area of a rectangle = length x width
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OpenStudy (anonymous):
so it's \[x ^2+1\]?
OpenStudy (jdoe0001):
no, the length there is (x+1)
the width there is (x+1)
so the Area will be (x+1)(x+1)
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OpenStudy (jdoe0001):
length times width
OpenStudy (anonymous):
possible answers are equivilent to the area
x2+2x+1
x2+x+1
x2+2x
x2+1 thats why I thought it was x^2+1 am I wrong ?
OpenStudy (jdoe0001):
well, what's (x+1)(x+1) ?
OpenStudy (jdoe0001):
the length is (x+1)
the width is (x+1)
the Area is length times width, so, what's (x+1)(x+1)?
OpenStudy (anonymous):
x^2+1
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OpenStudy (jdoe0001):
hehe
OpenStudy (jdoe0001):
hmmm would you say that \( \bf (x+1)(x+1) \implies (x+1)^2\ \ \ ?\)