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Megans room was remodeled. The new area of the room is 175% of the previous area. Only the length of the room changed.

Respuesta :

SaniShahbaz

Answer:

As only the length of the room changed. It means the length of the room is increased by 175%, because of which the area is increased by 175%.

Therefore, the expression become

                                                             [tex]\frac{175}{100}\:l\cdot b[/tex]

                                                             [tex]=1.75\:l\cdot b[/tex]

And the area of Megan's room is increased by 0.75 square meters.

Step-by-step explanation:

  • Let [tex]l[/tex] be the length of the room
  • Let [tex]b[/tex] be the width of the room

So the area of the rectangle will be:

                                                         [tex]A=l\cdot \:b[/tex]

As the statement mentions that the new area of the room is [tex]175%[/tex]% of the previous area.

So the new area of the room becomes:

                                                                 [tex]\frac{175}{100}\:l\cdot b[/tex]

As only the length of the room changed. It means the length of the room is increased by 175%, because of which the area is increased by 175%.

Therefore, the expression become

                                                             [tex]\frac{175}{100}\:l\cdot b[/tex]

                                                             [tex]=1.75\:l\cdot b[/tex]

also

        [tex]\left(1.75\right)l\cdot \:b-\left(1\right)l\cdot \:b[/tex]

         [tex]=0.75\:l\cdot b[/tex]

so, the area of Megan's room is increased by 0.75 square meters.      

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