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Sagot :
Answer:
Perimeter of BCDEF = 16 + 2√13 unit
Step-by-step explanation:
Given;
Coordinate of pentagon BCDEF
B(-3, 3),C(5, 3), D(5, 0), E(1, -3), and F(-1, 0)
Find:
Perimeter of BCDEF
Computation:
Distance = √(x1 - x2)² + (y1 - y2)²
Distance between BC = √(-3 - 5)² + (3 - 3)²
Distance between BC = 8 unit
Distance between CD = √(5 - 5)² + (3 - 0)²
Distance between CD = 3 unit
Distance between DE = √(5 - 1)² + (0 - 3)²
Distance between DE = 5 unit
Distance between EF = √(1 + 1)² + (-3 - 0)²
Distance between EF = √13 unit
Distance between FB = √(-1 + 3)² + (0 - 3)²
Distance between FB = √13 unit
Perimeter of BCDEF = BC + CD + DE + EF + FB
Perimeter of BCDEF = 8 + 3 + 5 √13 + √13
Perimeter of BCDEF = 16 + 2√13 unit
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