The width of rectangle is 8 units.
Step-by-step explanation:
Given,
Area of rectangle = 40 units
Width = w
Length = w-3
Area = Length * Width
![40=(w-3)*w\\40=w^2-3w\\w^2-3w=40\\w^2-3w-40=0](https://tex.z-dn.net/?f=40%3D%28w-3%29%2Aw%5C%5C40%3Dw%5E2-3w%5C%5Cw%5E2-3w%3D40%5C%5Cw%5E2-3w-40%3D0)
Factorizing the equation
![w^2-8w+5w-40=0\\w(w-8)+5(w-8)=0\\(w-8)(w+5)=0](https://tex.z-dn.net/?f=w%5E2-8w%2B5w-40%3D0%5C%5Cw%28w-8%29%2B5%28w-8%29%3D0%5C%5C%28w-8%29%28w%2B5%29%3D0)
Either,
w-8=0 => w=8
Or,
w+5=0 =>w= -5
As width cannot be negative, therefore
Width of rectangle = 8 units
The width of rectangle is 8 units.
Keywords: area, rectangle
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