anonymous
  • anonymous
A rectangle has an area of 12 square centimeters and a perimeter of 16 centimeters. Which of the following could be its dimensions? 2 cm and 6 cm 3 cm and 4 cm 1.5 cm and 8 cm 1 cm and 12 cm
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
i think its 2 and 6
anonymous
  • anonymous
thehumantorch10
  • thehumantorch10
the correct dimensions will solve both of these equations simultaneously, bh=12 , 2(b+h)=16 ie the dimensions will multiply to give twelve, and add to give 8

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AG23
  • AG23
it is 2 and 6
thehumantorch10
  • thehumantorch10
you are right
thehumantorch10
  • thehumantorch10
👍
imqwerty
  • imqwerty
let the lenth and breath of rectangle be l and b l x b = 12 l=12/b equation 1 and 2(l+b)=16 l+b=8 l=8-b equation2 eq1 = eq 2 12/b = 8-b 12=8b-b^2 b^2 -8b +12 = 0 (b-6)(b-2)=0 if b=6 l=2 if b=2 l=6
anonymous
  • anonymous
<3

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