The width of rectangle is 6.
Step-by-step explanation:
Given,
Area of rectangle; w²+4w=60
As w is the width, we will solve the equation to find w.
[tex]w^2+4w=60[/tex]
Subtracting 60 from both sides
[tex]w^2+4w-60=0[/tex]
Factorizing the equation;
[tex]w^2+10w-6w-60=0\\w(w+10)-6(w+10)=0\\(w+10)(w-6)=0[/tex]
Either,
w+10=0 => w=-10
Or,
w-6=0 =>w=6
As width cannot be negative, therefore
Width = 6
The width of rectangle is 6.
Keywords: area, rectangle
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