Randy walks 500 meters around the block of the rectangular city.
What is a rectangle?
A rectangle is one of the types of quadrilaterals in which all four angles are right angles or equal to 90 degrees. It is four-sided polygon in which the opposite sides are parallel and equal to each other.
For the given situation,
The points are (-5, -2), (-5,9), (9,9) and (9,-2)
Plot these points in the graph as shown below, we obtain a rectangle.
The rectangle has the units of 14, 11, 14, 11.
Randy walks all the way around the block, so we need to find the perimeter of the rectangle.
Here,
Length of the rectangle,l = 14 units
Breadth of the rectangle,b = 11 units
The formula for the perimeter of the rectangle,
[tex]P=2(l+b)[/tex]
⇒ [tex]P=2(14+11)[/tex]
⇒ [tex]P=2(25)[/tex]
⇒ [tex]P=50[/tex]
Each unit on the grid represents 10 units.
⇒ [tex]50(10)[/tex]
⇒ [tex]500[/tex]
Hence we can conclude that Randy walks 500 meters around the block.
Learn more about rectangles here
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