SOLUTION: A rectangular table is five times as long as it is wide. If the area is 45ft^2, find the length and width of the table.
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Question 421447: A rectangular table is five times as long as it is wide. If the area is 45ft^2, find the length and width of the table.
Answer by algebrahouse.com(1659) (Show Source): You can put this solution on YOUR website!
"A rectangular table is five times as long as it is wide. If the area is 45ft^2, find the length and width of the table. "
x = width
5x = length {five times as long as it is wide}
Area of a rectangle = length x width
x(5x) = 45 {area is length x width}
5x^2 = 45 {multiplied x by 5x}
x^2 = 9 {divided both sides by 5}
x = 3 {took square root of both sides, and only accepted positive value, since it is a measurement}
5x = 15 {substituted 3, in for x, into 5x}
width = 3ft and length = 15ft
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