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.
