simmonsrockell1 simmonsrockell1
  • 25-07-2021
  • Mathematics
contestada

the length of a rectangle is 4 meters longer than the width. if the area is 22 square meters , find the rectangle dimension

Respuesta :

Аноним Аноним
  • 25-07-2021

Let breadth be x

  • Length=x+4

We know

[tex]\boxed{\sf Area_{(Rectangle)}=Length\times Breadth}[/tex]

[tex]\\ \sf\longmapsto x(x+4)=22[/tex]

[tex]\\ \sf\longmapsto x^2+4x=22[/tex]

[tex]\\ \sf\longmapsto x^2+4x-22=0[/tex]

  • By solving

[tex]\\ \sf\longmapsto x=-2\pm\sqrt{26}[/tex]

It doesnot have any real roots

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