Question

The four corners of a rectangular city block are located at (-5, -2).(-5,9). (9,9), and

(9,-2) on the coordinate grid below. Randy walks all the way around the block and stops
when he gets back to where he started. Each unit on the grid represents 10 meters. How
many meters does Randy walk? Type the answer in the box below.

Answer 1

500 meters

Explanation:

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:

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.

While walking from A to B, he walks parallel to x-axis for 9 - (-5) units so e.I 14 units.

While walking from B to C, he walks parallel to y-axis for 9 - (-2) units so e.I 11 units.

Similarly, C to D, he walks parallel to x-axis for 9 - (-5) units i.e. 14 units.

Similarly, D to A, he walks parallel to y-axis for 9 - (-2) units i.e. 11 units.

Total distance traveled is 110 + 140 + 110 + 140 = 500 metres

Answer 2

500 metres

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:

`A(-5,-2),\ B(9,-2),\ C(9,9),\ D(-5,9)`

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.

`A \rightarrow B \rightarrow C \rightarrow D \rightarrow A`

While walking from A to B, he walks parallel to x-axis for 9 - (-5) units i.e. 14 units.

`Distance = 14 * 10\\\Rightarrow 140m`

While walking from B to C, he walks parallel to y-axis for 9 - (-2) units i.e. 11 units.

`Distance = 11 * 10\\\Rightarrow 110m`

Similarly, C to D, he walks parallel to x-axis for 9 - (-5) units i.e. 14 units.

`Distance = 14 * 10\\\Rightarrow 140m`

Similarly, D to A, he walks parallel to y-axis for 9 - (-2) units i.e. 11 units.

`Distance = 11 * 10\\\Rightarrow 110m`

Total distance traveled is 110 + 140 + 110 + 140 = 500 metres.