What is the area of the two rectangles shown below?

Answers are in bold.

For the first one:

The total area of both shaded and unshaded portions is equal to , which simplifies to . The area of the middle white portion is , which simplifies to . To find the area of the shaded portion, we do . Combining like terms, we get as our expression for the area of the shaded portion of the first rectangle.

For the second one:

The total area of both shaded and unshaded portions is equal to , which simplifies to . The area of the middle white portion is , which simplifies to . To find the area of the shaded portion, we do . Combining like terms, we get as our expression for the area of the shaded portion of the second rectangle.

-- I don't know if you'll still need mine, but here's what I got --

1st (shaded) box = Area is 441

2nd (shaded) box = Area is 1,764

Step-by-step explanation:

First of all, It stated, "To determine the area of the (shaded) portion" but it didn't mention the white box so I ignored it and pay attention only to the "shaded box" as mentioned in the assignment

1st (shaded) box

1. write it out like so,

2. next to get "x" alone subtract 7 to the other side once done you would have this,

3. then subtract 3x to both sides... >> >> you're now left with,

To find the area we need one more step...

and then multiply to get the area, negative crosses each other out once multiplying so -21 times -21 gives you 441

-------

2nd (shaded) box repeat from above

1.

2.

3. , here is different as there is still one more step, we need to divide to get "n" alone.

4.

Now plugin to get the area, once multiplied you get 1,764

Once again I could be wrong but this is what I got after reading the little description from your attached assignment.

r(0,90)(x,y) . t(-5,0)

last option

step-by-step explanation:

∆def to ∆d"e"f"

- rotate 90 counterclockwise degrees

- then translated 5 to the left (x --> x - 5)

answer is the last option