Mathematics, 31.01.2021 21:50 zaniathomasel

What is the area of the two rectangles shown below?

Answers: 3

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Answer from: impura12713

Answers are in bold.

For the first one:

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.

For the second one:

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.

Answer from: joshajgaa

-- 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.

Answer from: Quest

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints

Answer from: Quest

step-by-step explanation:

Which expression is equivalent to 24 1/3

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