The length of rectangle is 5 units and width is 4 units.
Step-by-step explanation:
Given,
Area of rectangle = 20
Width of rectangle = w
Length of rectangle = 2w-3
Area = Length * Width
[tex]20=(2w-3)(w)\\20=2w^2-3w\\2w^2-3w-20=0[/tex]
Factorizing
[tex]2w^2-8w+5w-20=0\\2w(w-4)+5(w-4)=0\\(2w+5)(w-4)=0[/tex]
Either;
2w+5=0 =>2w=-5
Or,
w-4 = 0 => w=4
As width cannot be negative, therefore,
width of rectangle = 4 units
length of rectangle = 2w-3 = 2(4)-3 = 8-3 = 5 units
The length of rectangle is 5 units and width is 4 units.
Keywords: area, rectangle
Learn more about rectangle at:
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