In a grid of the swimming area at a beach, the vertices are (1,-1),(1,5),(-4,5) and (-4,-1). Find the perimeter of the swimming area in meters.
The perimeter of the swimming area in meters is 24 meters.
To find the perimeter of the swimming area, we need to calculate the distance between each pair of consecutive vertices and add them up.
Using the distance formula, we can calculate the distance between each pair of consecutive vertices:
Distance between (1,-1) and (1,5):
d = √[(1-1)² + (5-(-1))²] = √(0² + 6²) = 6 meters
Distance between (1,5) and (-4,5):
d = √[(-4-1)² + (5-5)²] = √((-5)² + 0²) = 5 meters
Distance between (-4,5) and (-4,-1):
d = √[(-4-(-4))² + (-1-5)²] = √(0² + (-6)²) = 6 meters
Distance between (-4,-1) and (1,-1):
d = √[(1-(-4))² + (-1-(-1))²] = √(5² + 0²) = 5 meters
Therefore, the perimeter of the swimming area is:
6 + 5 + 6 + 5 = 22 meters