Answer:
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
