Question 971100
Area of a rectangle is Area = Length x Width


We are told that the length is twice the width.  In other words, L = 2W


We are told the area is 288 meters


Now, we can set this up as an equation, be replacing A with 288 and L with 2W:


288 = 2W x W


Multiply 2W by W:  {{{2W^2=288}}}


Divide both sides by 2, giving us:


{{{W^2=144}}}


Now, to get rid of the square in {{{W^2}}}, take the square root of both sides, giving us:


{{{W=sqrt(144)}}}


Finally, find the square root of 144, which is 12.  


Note that because a side of a flower bed cannot be a negative number, when we take the square root of both sides, we do not have to add the +- sign before the square root.


So, the Width = 12 meters


To find the length, replace the A with 288 and replace the W with 12.  This gives us:


288 = 12L


Now, solve for L by dividing both sides of the equation by 12.  This gives us:


24 = L


So, the Length = 24 meters.


Final Answer:  Length = 24 meters and Width = 12 meters