pdalzell9284 pdalzell9284
  • 24-08-2017
  • Mathematics
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He length of a rectangle is 7 in greater than the width. the area is 30 in squared2. find the length and the width

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apologiabiology
apologiabiology apologiabiology
  • 24-08-2017
L=7+W

area=30=LW

so subsitute 7+W for length

30=(7+W)(W)
30=W²+7W
minus 30 both sides
0=W²+7W-30
factor
what 2 numbers multiply to get -30 and add to get 7
-3 and 10
0=(W-3)(W+10)
set to zero

0=W-3
3=W

0=W+10
-10=W
false, can't have a negative width



width=3in


L=7+W
L=7+3
L=10


the length is 10in
the width is 3in
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