Question

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

Answer 1

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

`(175)/(100)\:l\cdot b`

`=1.75\:l\cdot b`

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

Explanation:

• Let
  `l` be the length of the room

• Let
  `b` be the width of the room

So the area of the rectangle will be:

`A=l\cdot \:b`

As the statement mentions that the new area of the room is
`175%`% of the previous area.

So the new area of the room becomes:

`(175)/(100)\:l\cdot b`

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

`(175)/(100)\:l\cdot b`

`=1.75\:l\cdot b`

also

`\left(1.75\right)l\cdot \:b-\left(1\right)l\cdot \:b`

`=0.75\:l\cdot b`

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