SOLUTION: the lenght of a kitchen floor is 3ft more than the width.the area is 100 sq ft. what are the length and width of the kitchen to the nearest hundredth of a foot

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Question 1003708: the lenght of a kitchen floor is 3ft more than the width.the area is 100 sq ft. what are the length and width of the kitchen to the nearest hundredth of a foot
Found 2 solutions by mananth, stanbon:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let length be x
width = (x-3)
Area = L*w
x(x-3) = 100
x^2-3x =100
x^2-3x=100
x^2-3x +(9/4) = 100+9/4
(x-(3/2))^2 = 409/4
x-%283%2F2%29 = +/- sqrt%28409%29%2F2
x= 3/2 + sqrt%28409%29%2F2 OR x = (3/2) - sqrt%28409%29%2F2
ignore negative value
x= 11.61 => ;length
y = 8.611 => width
CHECK
11.61*8.61 = 99.96 sq ft




Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
the length of a kitchen floor is 3ft more than the width.
the area is 100 sq ft.
what are the length and width of the kitchen to the nearest hundredth of a foot.
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Let width = "w"
Then length = "w+3"
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Equation:
w(w+3) = 100
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w^2 + 3w - 100 = 0
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width = 8.61 ft.
----
length = 8.61+3 = 11.61 ft.
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Cheers,
Stan H.
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