Answer:
The total length of fencing needed to enclose the kennel 74 feet.
Step-by-step explanation:
Given:
The blueprint of the rectangular kennel shows one side is 23 feet and another side is 14 feet.
As it is a rectangular shape, let the two sides be the length and the breadth of the rectangular kennel. i.e
![length = L = 23\ feet\\breadth = B = 14\ feet\\](https://tex.z-dn.net/?f=length%20%3D%20L%20%3D%2023%5C%20feet%5C%5Cbreadth%20%3D%20B%20%3D%2014%5C%20feet%5C%5C)
To find:
Total length of fencing needed is to enclose the kennel. i.e
Perimeter of a rectangular kennel = ?
Solution:
we have the formula for perimeter of a rectangle as giving below.
![\textrm{perimeter of rectangle} = 2(length + breadth) \\\textrm{total length of fencing} = 2( L+B)\\ \textrm{substituting the values of length and breadth we get}\\ \textrm{total length of fencing} = 2(23+14)\\=2\times37\\= 74\ feet](https://tex.z-dn.net/?f=%5Ctextrm%7Bperimeter%20of%20rectangle%7D%20%3D%202%28length%20%2B%20breadth%29%20%5C%5C%5Ctextrm%7Btotal%20length%20of%20fencing%7D%20%3D%202%28%20L%2BB%29%5C%5C%20%5Ctextrm%7Bsubstituting%20the%20values%20of%20length%20and%20breadth%20we%20get%7D%5C%5C%20%5Ctextrm%7Btotal%20length%20of%20fencing%7D%20%3D%202%2823%2B14%29%5C%5C%3D2%5Ctimes37%5C%5C%3D%2074%5C%20feet)
Therefore,the total length of fencing needed to enclose the kennel 74 feet.
The answer should be t=-24
1- y= x/2 + 2
2- y= 3x +1
3- y= x/2 - 2
4- y= 3x - 1
4x - 2y - z = - 5 ______×2x - 3y + 2z = 3 _______×13x + y - 2z = - 5 ______×1
8x - 4y - 2z = - 10x - 3y + 2z = 33x + y - 2z = - 5
8x - 4y - 2z = - 10(+) x - 3y + 2z = 3_____________9x - 7y = - 77y = 9x + 7y = 9/7x + 1
x - 3y + 2z = 3(+) 3x + y - 2z = - 5_____________4x - 2y = - 24x - 2(9/7x + 1) = - 24x - 18/7x - 2 = - 210/7x = 0x = 0
y = 9/7(0) + 1y = 1
0 - 3(1) + 2z = 32z = 6z = 3