Question

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.

Answer 1

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. 

Answer 2

46 on edg. i got it right