Question

Megan's room was remodeled. The new area of the room is 175% of the previous area. Only the length of the room changed. part a) Which expression represents the new area of Megan's room? part b) By how many square meters has the area of Megan's room increased? Enter the number in the box

Answer 1

Answer: a) $\frac{175}{100}xy\\\\=1.75xy$

b)  By 0.75 square meters the new area is increased.

Step-by-step explanation:

Let the length of room be l

Let the breadth of room be 'b'

As we know the formula for "Area of rectangle ":

$Area=Length\times breadth\\\\Area=l\times b$

Now, According to question, The new area of the room is 175% of the previous area.

So, a)  New area of the room becomes,

$\frac{175}{100}xy\\\\=1.75xy$

So, it means Length of the room is increased by 175%, because of which the area is increased by 175%.

b) By how many square meters has the area of Megan's room increased

$1.75xy-1xy=0.75\\\\\text{So, by 0.75 square meters the new area is increased.}$