Answer: 11.6 units.
Step-by-step explanation:
1. Plot the points as you can see in the graph attached.
2. As you can see, the lenght TA is 3 units.
3. Apply the formula for calculate the distance between two points, to calculate the length TP and TA. The formula is:
[tex]d=\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}[/tex]
4. Therefore, you have:
[tex]TP=\sqrt{(1-3)^{2}+(4-0)^{2}}=4.47units[/tex]
[tex]AP=\sqrt{(4-3)^{2}+(4-0)^{2}}=4.12units[/tex]
5. The perimeter is the sum of the the lenght of each side, therefore:
[tex]Perimeter=3units+4.47units+4.12units\\Perimeter=11.59units[/tex]
6. To the nearest tenth unit:
[tex]Perimeter=11.6units[/tex]
