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Rectangle ABCD is shown on a coordinate plane.What for d the area,in square units,of the rectangle?

Rectangle ABCD is shown on a coordinate plane.What for d the area,in square units-example-1
User Ccampj
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1 Answer

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To find the area, we need to first find the distance AB and BC

A(-3, -4) B(-1, 2)

x₁ = 3 y₁=-4 x₂=-1 y₂=2

Using the distance formula

AB =√ (-1-3)² + (2+4)²

=√ (-4)²+ (6)²

=√16 + 36

=√52

B(-1, 2) C(2, 1)

x₁=-1 y₁=2 x₂=2 y₂=1

Using the distance formula;

BC = √(2+1)² + (1-2)²

=√3² + 1²

= √9+1

=√10

Area = √52 x √10

=22.8 unit square

User Brian Deacon
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