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?…

Question

asked Apr 11, 2021 96.3k views

1 Answer

Fishcracker · Answer 1 · 2021-04-14T16:37:46+0000

Answer: OPTION C

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)