Respuesta :
The perimeter of rectangle EFGH is 2(FG + EF) = 2√10 + 2√29.
What is the Perimeter of a Rectangle?
Perimeter of rectangle = 2(length + width)
Given:
- Point E = (1, -1),
- Point F = (-4, 1)
- Point G = (-3, 4)
- Point H = (2, 2)
Perimeter of rectangle EFGH = 2(FG + EF)
Using the distance formula, [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex], we have:
EF = √29 units
FG = √10 units
Therefore:
Perimeter of rectangle EFGH = 2(√10 + √29) = 2√10 + 2√29
Therefore, the perimeter of rectangle EFGH is 2(FG + EF) = 2√10 + 2√29.
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