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

Define Length and Width

Let the width be x
width = x
length = x + 6


Formula

Area = Length x Width


Form equation and solve for x

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


Find Length and Width

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


Width = 6 feet

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