Answer:
24 m
Step-by-step explanation:
The lenght of fencing needed is the sum of all sides the triangular garden represented on the coordinate grid.
The lenght of the triangular garden = 16 - 10 = 6 m
Lenght of the height = 8 - 0 = 8 m
Lenght of the hypotenuse can be calculated using coordinates of the two vertices of the ∆ that forms the hypotenuse lenght and also using the distance formula.
Coordinates of the two vertices = (10, 0) and (16, 8).
![distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}](https://tex.z-dn.net/?f=%20distance%20%3D%20%5Csqrt%7B%28x_2%20-%20x_1%29%5E2%20%2B%20%28y_2%20-%20y_1%29%5E2%7D%20)
Let,
![(10, 0) = (x_1, y_1)](https://tex.z-dn.net/?f=%20%2810%2C%200%29%20%3D%20%28x_1%2C%20y_1%29%20)
![(16, 8) = (x_2, y_2)](https://tex.z-dn.net/?f=%20%2816%2C%208%29%20%3D%20%28x_2%2C%20y_2%29%20)
![d = \sqrt{(16 - 10)^2 + (8 - 0)^2}](https://tex.z-dn.net/?f=%20d%20%3D%20%5Csqrt%7B%2816%20-%2010%29%5E2%20%2B%20%288%20-%200%29%5E2%7D%20)
![d = \sqrt{(6)^2 + (8)^2}](https://tex.z-dn.net/?f=%20d%20%3D%20%5Csqrt%7B%286%29%5E2%20%2B%20%288%29%5E2%7D%20)
![d = \sqrt{36 + 64} = \sqrt{100}](https://tex.z-dn.net/?f=%20d%20%3D%20%5Csqrt%7B36%20%2B%2064%7D%20%3D%20%5Csqrt%7B100%7D%20)
Length of fencing = 6 + 8 + 10 = 24 m
Answer: 12.35 miles
3.5+2.75+6.1=12.35
I hope this is good enough:
Answer:
use mathaway or algebra calculator they help alot