Dominic’s kitchen is six feet longer than it is wide. The area of the kitchen is 72 square feet. Find the width of the kitchen

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23-03-2018
Mathematics

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Dominic’s kitchen is six feet longer than it is wide. The area of the kitchen is 72 square feet. Find the width of the kitchen

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Аноним Аноним · Answer 1 · 2018-03-23T11:36:28+01:00

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Define Length and Width
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Let the width be x
width = x
length = x + 6

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Formula
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Area = Length x Width

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Form equation and solve for x
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72 = x (x + 6)
x² + 6x = 72
x² + 6x - 72 = 0
(x + 12)(x - 6) = 0
x = -12 (Rejected, length cannot be negative) or x - 6 = 0
x - 6 = 0
x= 6

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Find Length and Width
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Width = x = 6 feet
Length = x+ 6 = 6 + 6 = 12 feet

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Answer: Width = 6 feet
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