Answer:
<u>92 feet.</u>
Step-by-step explanation:
Given:
The length of the garden needs to be 22 feet longer than the width of the garden.
The perimeter of the fence is a total of 324 feet
Question asked:
What will the length be of garden ?
Solution:
As length of the garden needs to be 22 feet longer than the width,
<u>Let width</u> = ![x](https://tex.z-dn.net/?f=x)
Then,<u> length </u>will be = ![x+22](https://tex.z-dn.net/?f=x%2B22)
As here perimeter of the fence is given, we can find length and width of garden by using:
Perimeter of rectangle = ![2(length+width)](https://tex.z-dn.net/?f=2%28length%2Bwidth%29)
![324=2(x+22+x)\\324=2(2x+22)\\324=4x+44\\](https://tex.z-dn.net/?f=324%3D2%28x%2B22%2Bx%29%5C%5C324%3D2%282x%2B22%29%5C%5C324%3D4x%2B44%5C%5C)
Subtracting both sides by 44
![324-44=4x+44-44\\280=4x\\](https://tex.z-dn.net/?f=324-44%3D4x%2B44-44%5C%5C280%3D4x%5C%5C)
Dividing both sides by 4
![70=x](https://tex.z-dn.net/?f=70%3Dx)
Width =
= 70 feet
Then, length will be =
= 70 + 22 = 92 feet
Therefore, the length of the garden will be 92 feet.
Answer:
PLEASE READ EXPLANATION
1. ![x = 7](https://tex.z-dn.net/?f=x%20%3D%207)
2. ![b = 3](https://tex.z-dn.net/?f=b%20%3D%203)
3. ![n = 6](https://tex.z-dn.net/?f=n%20%3D%206)
4. ![b = 1](https://tex.z-dn.net/?f=b%20%3D%201)
Step-by-step explanation:
I’m going to assume the equations are as following - you made it a bit hard to read.
![x - 7 = 0](https://tex.z-dn.net/?f=x%20-%207%20%3D%200)
![-15 = b - 18](https://tex.z-dn.net/?f=-15%20%3D%20b%20-%2018)
![4 = n-2](https://tex.z-dn.net/?f=4%20%3D%20n-2)
![b-(-16) = 17](https://tex.z-dn.net/?f=b-%28-16%29%20%3D%2017)
I’m just shooting guesses here, if I said an equation wrong PLEASE let me know.
We can solve each equation by isolating x on one side.
Number 1:
![x - 7 = 0\\\\x - 7 + 7 = 0 + 7\\\\x = 7](https://tex.z-dn.net/?f=x%20-%207%20%3D%200%5C%5C%5C%5Cx%20-%207%20%2B%207%20%3D%200%20%2B%207%5C%5C%5C%5Cx%20%3D%207)
Number 2:
![-15 = b - 18\\\\-15 + 18 = b - 18 + 18\\\\3 = b](https://tex.z-dn.net/?f=-15%20%3D%20b%20-%2018%5C%5C%5C%5C-15%20%2B%2018%20%3D%20b%20-%2018%20%2B%2018%5C%5C%5C%5C3%20%3D%20b)
Number 3:
![4 = n-2\\\\4 + 2 = n - 2 + 2\\\\n = 6](https://tex.z-dn.net/?f=4%20%3D%20n-2%5C%5C%5C%5C4%20%2B%202%20%3D%20n%20-%202%20%2B%202%5C%5C%5C%5Cn%20%3D%206)
Number 4:
![b-(-16) = 17\\\\b+16=17\\\\b + 16 - 16 = 17 - 16\\\\b = 1](https://tex.z-dn.net/?f=b-%28-16%29%20%3D%2017%5C%5C%5C%5Cb%2B16%3D17%5C%5C%5C%5Cb%20%2B%2016%20-%2016%20%3D%2017%20-%2016%5C%5C%5C%5Cb%20%3D%201)
Hope this helped!
Answer:
14 :)
Step-by-step explanation: