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)

Question

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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

Mathematics

1 answer:

Zina [12.3K] · Answer 1 · 2026-03-27T23:51:11+03:00

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

b) The area has grown by 0.75 square meters.

Detailed breakdown:

Let the room's length be l

Let the room's breadth be 'b'

The area of a rectangle is calculated using the formula:

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

Per the problem, the room's new area equals 175% of its old area.

Thus, a) The new area of the room is determined as

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

This indicates a 175% increase in the room's length, resulting in a 175% increase in area.

b) The increase in square meters for Megan's room area is

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