Rectangle ABCD is shown on the grid. What is the area of rectangle ABCD in square units? square units square units 17 square units 34 square units

34sq. units

Step-by-step explanation:

The area of the rectangle shown is expressed as;

A = length *width

The length = AD = BC

Width = AB =  CD

From the diagram, we will look for AD and AB using the formula for calculating distance between two points;

D = √(x2-x1)²+(y2-y1)²

For AB where A(-1,4) and B(3,3)

AB = √(3-(-1))²+(3-4)²

AB = √(4)²+(-1)²

AB =√16+1

AB = √17

For AD where A(-1,4) and D(-3,-4)

AD = √(-3-(-1))²+(-4-4)²

AD = √(-2)²+(-8)²

AD =√4+64

AD = √68

Hence area of the rectangle = √17*√68

Hence area of the rectangle = √1156

Hence area of the rectangle = 34

Hence area of the rectangle ≈ 34sq. units

answer:

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step-by-step explanation:

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