Answer:
Perimeter of rectangle ABCD = 47.62
Step-by-step explanation:
The perimeter of a rectangle is P = 2(length + width)
You need to find length and width
If you graph, you can pick your length length and your width
Pick two points after you graph, for ![(x_{1},y_{1}) and (x_{2},y_{2})](https://tex.z-dn.net/?f=%28x_%7B1%7D%2Cy_%7B1%7D%29%20%20and%20%28x_%7B2%7D%2Cy_%7B2%7D%29)
Use the distance formula to find the length =![\sqrt{(x_{2} - x_{1} )^{2} + (y_{2} - y_{1} ^{2})}](https://tex.z-dn.net/?f=%5Csqrt%7B%28x_%7B2%7D%20-%20x_%7B1%7D%20%29%5E%7B2%7D%20%2B%20%28y_%7B2%7D%20-%20y_%7B1%7D%20%5E%7B2%7D%29%7D)
point B (4,5) will be point 1 and point C (8,-3) will be point 2
Substitute
length =![\sqrt{(8 - 4 )^{2} + (-3- 5 )^{2}}\\](https://tex.z-dn.net/?f=%5Csqrt%7B%288%20-%204%20%29%5E%7B2%7D%20%2B%20%28-3-%205%20%29%5E%7B2%7D%7D%5C%5C)
length = ![\sqrt{80}](https://tex.z-dn.net/?f=%5Csqrt%7B80%7D)
length = 8.94
Use the distance formula to find the width =![\sqrt{(x_{2} - x_{1} )^{2} + (y_{2} - y_{1} ^{2})}](https://tex.z-dn.net/?f=%5Csqrt%7B%28x_%7B2%7D%20-%20x_%7B1%7D%20%29%5E%7B2%7D%20%2B%20%28y_%7B2%7D%20-%20y_%7B1%7D%20%5E%7B2%7D%29%7D)
point C (8,-3) will be point 1 and point D (-2,8) will be point 2
Substitute
width =![\sqrt{(-2 - 8 )^{2} + (8- (-3) )^{2}}\\](https://tex.z-dn.net/?f=%5Csqrt%7B%28-2%20-%208%20%29%5E%7B2%7D%20%2B%20%288-%20%28-3%29%20%29%5E%7B2%7D%7D%5C%5C)
width =![\sqrt{(-10 )^{2} + (11 )^{2}}\\](https://tex.z-dn.net/?f=%5Csqrt%7B%28-10%20%29%5E%7B2%7D%20%2B%20%2811%20%29%5E%7B2%7D%7D%5C%5C)
width =![\sqrt{100 + 121}\\](https://tex.z-dn.net/?f=%5Csqrt%7B100%20%2B%20121%7D%5C%5C)
width = ![\sqrt{221}](https://tex.z-dn.net/?f=%5Csqrt%7B221%7D)
width = 14.87
Now use formula P = 2(length + width)
P = 2(8.94 + 14.87)
Perimeter of rectangle ABCD = 47.62