Maximum area of the rectangle is ![9cm^{2}](https://tex.z-dn.net/?f=9cm%5E%7B2%7D)
<u>Explanation:</u>
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Considering the dimensions to be in cm
![f(x) = -(x-3)^{2} +9\\f(x) = -(x^{2} +9 - 6x)+9\\f(x) = -x^{2} +6x\\f'(x) = -2x+6\\-2x+6 = 0\\2x=6\\x=3cm\\\\](https://tex.z-dn.net/?f=f%28x%29%20%3D%20-%28x-3%29%5E%7B2%7D%20%2B9%5C%5Cf%28x%29%20%3D%20-%28x%5E%7B2%7D%20%2B9%20-%206x%29%2B9%5C%5Cf%28x%29%20%3D%20-x%5E%7B2%7D%20%2B6x%5C%5Cf%27%28x%29%20%3D%20-2x%2B6%5C%5C-2x%2B6%20%3D%200%5C%5C2x%3D6%5C%5Cx%3D3cm%5C%5C%5C%5C)
Putting the value of x = 3
![Perimeter = 2(x+b)\\12 = 2(3+b)\\6 = 3+b\\b= 3cm](https://tex.z-dn.net/?f=Perimeter%20%3D%202%28x%2Bb%29%5C%5C12%20%3D%202%283%2Bb%29%5C%5C6%20%3D%203%2Bb%5C%5Cb%3D%203cm)
Therefore, maximum area of the rectangle is ![9cm^{2}](https://tex.z-dn.net/?f=9cm%5E%7B2%7D)
280 is the answer ///////////////////////////////////
Answer:
For the first one 25.925%
The second is 23.333%
The third is 27.27%
Let me know if this helps!
Answer:
38
Step-by-step explanation:
Formula
multiply the volume value by 8
Answer
Find out the value of AM.
To prove
As given
In ABC,
centroid D is on median AM.
AD = x + 5 and DM = 3x – 5.
By using the centroid property
The centroid divides each median in a ratio of 2:1.
Thus D divide the median AM in a ratio of 2:1.
Therefore
(AD) = 2DM
(x + 5) = 6x – 10
5x = 15
![x = \frac{15}{5}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B15%7D%7B5%7D)
x = 3
Now
AM = 3+ 5
= 8 unit
DM = 3 × 3- 5
= 4 unit
AM = AD + DM
= 8 + 4
AM = 12 unit
Therefore the AM is 12 unit.