Question

what is the perimeter of square abcd?
√37 units
4√37 units
28 units
37 units

Explanation:

Step1: Calculate the side length of the square

Use the distance formula \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\). For points \(A(3,4)\) and \(B(2,-2)\), \(x_1 = 3,y_1 = 4,x_2=2,y_2 = - 2\).

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Step2: Calculate the perimeter of the square

The perimeter of a square \(P=4s\) (where \(s\) is the side - length). Since \(s = \sqrt{37}\), then \(P = 4\sqrt{37}\).

Answer:

B. \(4\sqrt{37}\) units