What is the perimeter of rectangle EFGH?

StartRoot 10 EndRoot + StartRoot 29 EndRoot units
2 StartRoot 10 EndRoot + 2 StartRoot 29 EndRoot units
22 units
39 units

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bec97

Answer:

2 square root 10 + 2 square root 29

Step-by-step explanation:

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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