1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kenny6666 [7]
3 years ago
9

What is the area of the two rectangles shown below?

Mathematics
2 answers:
DedPeter [7]3 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]3 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.

You might be interested in
A triangle has side lengths of 10, 11, and 15. What type of triangle is it? Procedure: 102 ?? 112 + 152 100 ?? 121 + 225 100 &lt
stepladder [879]
<span> The triangle seems to be a scalene triangle because all three of its sides are different. </span>
3 0
3 years ago
PLEASE HELP ILL GIVE 25 POINTS FOR IT
Naddik [55]
90/2 = 45 degrees twices
These both are 45 degrees which is less than 90
3 0
3 years ago
Multiple to list the next five multiples of 3
brilliants [131]

Answer:

6, 9, 12, 15, 18

Step-by-step explanation:

Finding multiples is simple, count by 3 for as many times as you can and there are your multiples.

7 0
2 years ago
Find the length of the curve y = 3/5x^5/3 - 3/4x^1/3 + 6 for 1 &lt; = x &lt; = 8. The length of the curve is . (Type an exact an
Mashutka [201]

Answer:

\sqrt\frac{387}{20}

Step-by-step explanation:

Arc Length =\int\limits^a_b {\sqrt{1+(\frac{dy}{dx})^2 } } \, dx

y=\dfrac{3}{5}x^{\frac{5}{3}}-  \dfrac{3}{4}x^{\frac{1}{3}}+6

\frac{dy}{dx} =x^{\frac{2}{3}}-\dfrac{1}{4}x^{-\frac{2}{3}}

1+(\frac{dy}{dx})^2 }=1+(x^{\frac{2}{3}}-\dfrac{1}{4}x^{-\frac{2}{3}})^2\\=1+(x^{\frac{4}{3}}-\dfrac{1}{2}+ \dfrac{1}{16}x^{-\frac{4}{3}})

=\dfrac{1}{2}+x^{\frac{4}{3}}+ \dfrac{1}{16}x^{-\frac{4}{3}}

For the Interval 1\leq x\leq 8

Length of the Curve =\int\limits^8_1 {\sqrt{\dfrac{1}{2}+x^{\frac{4}{3}}+ \dfrac{1}{16}x^{-\frac{4}{3}} } } \, dx\\

Using T1-Calculator

=\sqrt\frac{387}{20}

3 0
3 years ago
rectangle with the dimension: width (6b-2)in and length (4a+3)in. if a=.75 and b=.50, what is the perimeter of the rectangle?
Greeley [361]
4(.75) + 3
3 + 3
6
-------------------
6(.50) - 2
3 - 2
1

P = 2 (l + w)
P = 2(6 + 1)
P = 2 x 7
P = 14
6 0
3 years ago
Other questions:
  • What is the common factors of 36 and 54
    8·1 answer
  • The volume of Jupiter is approximately 1014 cubic kilometers. The volume of Earth is approximately 1011 cubic kilometers. How ma
    12·1 answer
  • Which inequality represents this sentence? Seven plus five is greater than six plus two. A. 7 + 5 ≥ 6 + 2 B. 6 + 2 &gt; 7 + 5 C.
    15·2 answers
  • 14 A grain silo is shaped like a cylinder. The height of the silo is 60 feet tall, and the circumference of
    15·1 answer
  • (Will award Brainlies &amp; many many points, please help!)
    13·2 answers
  • HELP ME PLEASEEEE! !!
    5·1 answer
  • Katalin drove 300 miles on her vacation. She drove an average of 1.9 times faster on the second 150 miles of her trip than she d
    7·1 answer
  • What is 16.93 x 107 x 102 - 103 x 104 = 105 equal to?<br> 0.01693<br> 1,693<br> 1.693<br> 1,693,000
    8·2 answers
  • which phrase translates this expression x - 8 &lt; 23 A: a number is less than 23 B: 8-- x is at most C: a number decreased by 8
    5·1 answer
  • Can someone help me w this pls
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!