The consecutive sides of a quadrilateral have lengths (17 - x), (24 - x), (40 - 3x) and (x + 1). If the quadrilateral is a parre
lleogram, whats is its permiter.
Please include work.
1 answer:
The perimeter is: ![-5x+82](https://tex.z-dn.net/?f=-5x%2B82)
Step-by-step explanation:
We have to add all the sides to find the perimeter.
Given sides are:
![Side\ 1: 17-x\\Side\ 2: 24-x\\Side\ 3: 4-3x\\Side\ 4: x+1](https://tex.z-dn.net/?f=Side%5C%201%3A%2017-x%5C%5CSide%5C%202%3A%2024-x%5C%5CSide%5C%203%3A%204-3x%5C%5CSide%5C%204%3A%20x%2B1)
Perimeter is the measurement of outer boundary of a closed geometrical figure.
Let P be the perimeter
Then
![P = Side\ 1 + Side\ 2+ Side\ 3+Side\ 4\\P = (17-x) + (24-x) + (40-3x) + (x+1)\\P = 17-x+24-x+40-3x+x+1](https://tex.z-dn.net/?f=P%20%3D%20Side%5C%201%20%2B%20Side%5C%202%2B%20Side%5C%203%2BSide%5C%204%5C%5CP%20%3D%20%2817-x%29%20%2B%20%2824-x%29%20%2B%20%2840-3x%29%20%2B%20%28x%2B1%29%5C%5CP%20%3D%2017-x%2B24-x%2B40-3x%2Bx%2B1)
Combining like terms
![P = -x-x-3x+x+17+24+40+1\\P = -6x+x+82\\P = -5x+82](https://tex.z-dn.net/?f=P%20%3D%20-x-x-3x%2Bx%2B17%2B24%2B40%2B1%5C%5CP%20%3D%20-6x%2Bx%2B82%5C%5CP%20%3D%20-5x%2B82)
Hence,
The perimeter is: ![-5x+82](https://tex.z-dn.net/?f=-5x%2B82)
Keywords: Perimeter, Parallelogram
Learn more about perimeter at:
#LearnwithBrainly
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Step-by-step explanation: (1 / 4) + (6 / 8) + 2 + (5 / 8) + (6 / 4) = 5.125.
Hope I helped you.
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First equation :
Second equation :
Now, the equations are in the form of
where,
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therefore the equations would have no solution .
_____________________________
![\mathrm{ \#TeeNForeveR}](https://tex.z-dn.net/?f=%5Cmathrm%7B%20%5C%23TeeNForeveR%7D)
well, 26+6 is 32, so divide that by 3 and you'd get 10.67, making daniel 32 by that time and his son being 10 years old
its simple math really, also, i hope this helps you ^-^