What is the area of the rectangle? 40 units² 45 units² 50 units² 55 units²

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1 Answer
Nov 1, 2017

Area: #40sqrt(2)# sq.units

Explanation:

By counting vertical and horizontal distances between corners
and applying the Pythagorean Theorem:

Width (short side) #=sqrt(2^2+4^2)=sqrt(20)#

Length (long side) #=sqrt(4^2+12^2)=sqrt(160)#

Area #="Width"xx"Length"=sqrt(20xx160)=sqrt(3200)=40sqrt(2)#