The one side of rectangle is 11 feet and other side is 19 feet.
Step-by-step explanation:
Given,
Area of rectangle = 209 square feet
Let one side of rectangle = w
other side of rectangle = 2w-3
Area of rectangle = One side * other side
[tex]209=w*(2w-3)\\209=2w^2-3w[/tex]
[tex]0=2w^2-3w-209\\2w^2-3w-209=0[/tex]
[tex]2w^2+19w-22w-209=0\\w(2w+19)-11(2w+19)=0\\(2w+19)(w-11)=0[/tex]
Either;
2w+19=0 =>2w=-19
Or,
w-11=0 => w=11
As length cannot be negative, therefore,
One side of rectangle = 11 feet
Other side of rectangle = 2w-3 = 2(11)-3 = 22-3 = 19 feet
The one side of rectangle is 11 feet and other side is 19 feet.
Keywords: rectangle, area
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