1 Answer

Wu Jie · Answer 1 · 2021-10-22T04:27:45+0000

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

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

$=1.75\:l\cdot b$

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

Explanation:

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.

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