What is the area of rectangle abcd?

104 units²

Step-by-step explanation:

To find the area, you need to find the length and width of the rectangle.

In the figure,

Width: AB and DC

Length: BC and AD

Just calculate the distance of any one in each section since the opposite sides are equal.

Length formula:

√(x₂ - x₁)² + (y₂ - y₁)²

Now use the coordinates of the points and substitute it to the formula. I'll use sides AB(width) and BC(length).

AB:

√(1 - (-5))² + (6 - 2)²

√(1 + 5)² + (4)²

√6² + 4²

√36 + 16

√52

BC:

√(9 - 1)² + (-6 - 6)²

√(8)² + (-12)²

√64 + 144

√208

Now,

Area = LW

Area = (√208)(√52)

Area = 104

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step-by-step explanation:

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