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.

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

Answer 1

Answer: 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:

$A=s^2$

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

In this case you know that:

$s=4\ m$

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

$A=(4\ m)^2\\\\A=16\ m^2$

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:

$A=lw$

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

You can identify in the figure that:

$l=4+x\\\\w=4$

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

$4(4+x)$