the four corners of a rectangular city block are located at (-5, -2), (-5, 9), (9, 9), and (9, -2) on the…

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.

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

Explanation:

Step1: Calculate length of horizontal side

Find the difference in x - coordinates of two points on a horizontal side. Using points (-5, - 2) and (9, - 2), the length of the horizontal side $l$ is $|9-(-5)|=14$ units.

Step2: Calculate length of vertical side

Find the difference in y - coordinates of two points on a vertical side. Using points (-5, - 2) and (-5, 9), the length of the vertical side $w$ is $|9 - (-2)|=11$ units.

Step3: Calculate perimeter of rectangle

The perimeter $P$ of a rectangle is $P = 2(l + w)$. Substituting $l = 14$ and $w = 11$, we get $P=2(14 + 11)=2\times25 = 50$ units.

Step4: Convert units to meters

Since each unit represents 10 meters, the total distance $d$ Randy walks is $d=50\times10=500$ meters.

Answer:

500