Answered

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The area of rectangle is 36 cm2 and breadth is one fourth of the length.Find length and breadth of rectangle.​

Sagot :

  • Let breadth be x
  • Length=4x

We know

[tex]\boxed{\sf Area=Length\times Breadth}[/tex]

[tex]\\ \sf\longmapsto x(4x)=36[/tex]

[tex]\\ \sf\longmapsto 4x^2=36[/tex]

[tex]\\ \sf\longmapsto x^2=\dfrac{36}{4}[/tex]

[tex]\\ \sf\longmapsto x^2=9[/tex]

[tex]\\ \sf\longmapsto x=\sqrt{9}[/tex]

[tex]\\ \sf\longmapsto x=3[/tex]

  • Breadth=3m
  • Length=4(3)=12m
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