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A grid map marks the plot of Harold’s garden in meters. The coordinates of the quadrilateral-shaped property are G(–8, 3), A(4, 8), R(10, 0), and D(–2, –5). He wants to build a short fence around the garden. The perimeter of his garden is meters.

Respuesta :

BlueSky06
To calculate for the perimeter of the garden, we have to solve for the measures of each of the sides of the four-sided polygon. That is calculated by getting the distances between consecutive points. 

The equation for the distance is,
         
                            d = sqrt ((x₂ - x₁)² + (y₂ - y₁)²)

Distance from G and A,
                            d = sqrt ((4 - -8)² + (8 - 3)²)
                                 d = 13
Distance from A to R,
                           d = sqrt ((10 - 4)² + (0 - 8)²)
                                  d = 10
Distance from R to D,
                            d = sqrt ((-2 - 10)² + (-5 - 0)²
                                  d = 13
Distance from D to G,
                            d = sqrt ((-8 --2)² + (-5 -3)²)
                                  d = 10

Summing up all the four calculated distances will give us an answer of 46. Thus, the perimeter of the garden is 46 units. 
lhmarianateixeira

In this exercise we are dealing with perimeter, so we find that it will be:

[tex]D= 46[/tex]

What is a perimeter?

It is a calculation in which we add all the sides of a figure to calculate its total size.

So from the distance formula we have:

       

[tex]d = \sqrt{ ((x_2 - x_1)^2 + (y_2 - y_1)^2)}[/tex]

Now putting the values ​​of each of the points in the already known formula, we have:

  • Distance from G and A:

[tex]d = \sqrt {((4 -(-8))^2 + (8 - 3)^2)}\\ d = 13[/tex]

  • Distance from A to R:

[tex]d = \sqrt {((10 - 4)^2 + (0 - 8)^2)}\\ d = 10[/tex]

  • Distance from R to D:

[tex]d = \sqrt{ ((-2 - 10)^2+ (-5 - 0)^2}\\ d = 13[/tex]

  • Distance from D to G:

[tex]d = \sqrt{ ((-8 -(-2))^2 + (-5 -3)^2)}\\ d = 10[/tex]

Now adding all the total values ​​we have:

[tex]D= 10+10+13+13=46[/tex]

See more about perimeter at brainly.com/question/6465134

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