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:
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.
