Answer:
500 metres
Step-by-step explanation:
As per the question statement:
Randy walks all the way around the block and stops when he gets back to where he started.
Distance of 1 unit is 10m.
Please refer to the image attached:
[tex]A(-5,-2),\ B(9,-2),\ C(9,9),\ D(-5,9)[/tex]
Let us assume that he starts from point A and then moves towards point B, then towards point C and then D and finally reaches point A back.
[tex]A \rightarrow B \rightarrow C \rightarrow D \rightarrow A[/tex]
While walking from A to B, he walks parallel to x-axis for 9 - (-5) units i.e. 14 units.
[tex]Distance = 14 \times 10\\\Rightarrow 140m[/tex]
While walking from B to C, he walks parallel to y-axis for 9 - (-2) units i.e. 11 units.
[tex]Distance = 11 \times 10\\\Rightarrow 110m[/tex]
Similarly, C to D, he walks parallel to x-axis for 9 - (-5) units i.e. 14 units.
[tex]Distance = 14 \times 10\\\Rightarrow 140m[/tex]
Similarly, D to A, he walks parallel to y-axis for 9 - (-2) units i.e. 11 units.
[tex]Distance = 11 \times 10\\\Rightarrow 110m[/tex]
Total distance traveled is 110 + 140 + 110 + 140 = 500 metres.
