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

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

                                                             $\frac{175}{100}\:l\cdot b$

                                                             $=1.75\:l\cdot b$

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

Step-by-step 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:

                                                                 $\frac{175}{100}\:l\cdot b$

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

                                                             $\frac{175}{100}\:l\cdot b$

                                                             $=1.75\:l\cdot b$

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.