The area of the rectangle is 54 M squared and the length of the rectangle is 3 meters more than twice the width. what is the length and the width?

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We know that the area of a rectangle is solved via the equation: And we are told that the area of the rectangle is 54, so: We are told that the length is 3 meters more than twice the width, so we can then set up the equation: , with w representing the width of the rectangle Let's plug the above equation into the equation representing area: Simplify the right side: And then subtract 54 from both sides to set the equation equal to 0 for factoring purposes: ; then factor: Set each term equal to 0, and solve for w. We get the answers: and  Since the width cannot be a negative number, we take the positive value as the true width. Now we know that the width is  meters. Let's plug this value into the equation for the length: So now we know that the length is 12 meters. Overall, the length of the rectangle is 12 meters and the width of the rectangle is  meters.


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