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kenny6666 [7]
2 years ago
9

What is the area of the two rectangles shown below?

Mathematics
2 answers:
DedPeter [7]2 years ago
6 0

Answers are in bold.

<em><u>For the first one:</u></em>

The total area of both shaded and unshaded portions is equal to 3x(4x+7), which simplifies to 12x^2}+21x. The area of the middle white portion is (5x)(2x), which simplifies to 10x^2. To find the area of the shaded portion, we do 12x^2}+21x - 10x^2. Combining like terms, we get 2x^2+21x as our expression for the area of the shaded portion of the first rectangle.

<u><em>For the second one:</em></u>

The total area of both shaded and unshaded portions is equal to 6n(8n+14), which simplifies to 48n^2}+84n. The area of the middle white portion is 10n(4n+1), which simplifies to 40n^2+10n. To find the area of the shaded portion, we do 48n^2+84n-40n^2+10n. Combining like terms, we get 4n^2+94n as our expression for the area of the shaded portion of the second rectangle.

Phoenix [80]2 years ago
4 0

Answer:

-- 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, 4x + 7 = 3x

2. next to get "x" alone subtract 7 to the other side once done you would have this, 4x=3x-7

3. then subtract 3x to both sides... 3x-3x=cancelsout >> 4x-3x=1x=x >> you're now left with, x=-7

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

4x+7=4(-7)+7=-28+7=-21 and 3x=3(-7)=-21 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. 8n+14=6n

2. 8n=6n-14

3. 2n=-14, here is different as there is still one more step, we need to divide to get "n" alone.

4. \frac{2n=-14}{2} = n=-7

Now plugin to get the area, 6n=6(-7)=-42\\8n+14=8(-7)+14=-56+14=-42\\ 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.

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