SOLUTION: A rectangular table is four times as long as it is wide. If the area is 144^2 feet, find the length and the width of the table.
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Question 420371: A rectangular table is four times as long as it is wide. If the area is 144^2 feet, find the length and the width of the table.
Answer by algebrahouse.com(1659) (Show Source): You can put this solution on YOUR website!
"A rectangular table is four times as long as it is wide. If the area is 144^2 feet, find the length and the width of the table."
x = width
4x = length {table is 4 times as long as it is wide}
Area of a rectangle = length x width
x(4x) = 144 {area is width x length}
4x^2 = 144 {multiplied x by 4x}
x^2 = 36 {divided both sides by 4}
x = 6 {took square root of both sides}
4x = 24 {substituted 6, in for x, into 4x}
width = 6ft and length = 24ft
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