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The length and width of a rectangle are in the ratio 3:2 .If the perimeter is 100 cm, what is the area of the rectangle

Sagot :

Answer:

600 cm²

Step-by-step explanation:

We know that:

  • [tex]Length:Breadth = 3:2[/tex]

Solution:

  • [tex]Length:Breadth = 3:2[/tex]
  • => [tex]Length:Breadth = 3x:2x[/tex]
  • => [tex]3x + 2x + 3x + 2x=100 cm[/tex]
  • => [tex]10x=100 cm[/tex]
  • => [tex]x = 10 cm[/tex]
  • => [tex]Length = 30 cm[/tex]
  • => [tex]Breadth = 20cm[/tex]
  • => [tex]Area_{rectangle} = 30(20) cm^{2}[/tex]
  • => [tex]Area_{rectangle} = 600 cm^{2}[/tex]

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