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

Which expression represents the new area of Megan’s room?
A. 4x
B. x + 4
C. 4(4 + x)
D. 6(4 + x)

OPTION C

Step-by-step explanation:

The missing figure is attached.

Observe in the figure that the shape of Megan's old room was an square.

The area of square can be found with this formula:

Where "s" is the length of any side of the square.

In this case you know that:

Then, subsituting this value into the formula, you get that the area of her room was the following:

As you can see in the figure, now the shape of Megan's new room is rectangular.

The area of a rectangle can be found with this formula:

Where "l" is the length and "w" is the width of the rectangle.

You can identify in the figure that:

Therefore, you can write the following equation to represent the new area of Megan's room:

step-by-step explanation:

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.