SOLUTION: The length of a rectangle is 5m less than twice the width, and the area of the rectangle is {{{52m^2}}} . Find the dimensions of the rectangle. I need help finding the length an

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Question 1182008: The length of a rectangle is 5m less than twice the width, and the area of the rectangle is . Find the dimensions of the rectangle.
I need help finding the length and width please
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
L and w




4 & 13 ?
(2w 4)(w 13)
No.
13 & 4 ?
(2w 13)(w 4)
Maybe.



----------width
-----------length
Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
.
Let w be the width, in meters;

then the length is (2w-5) meters, according to the condition.



Write the area equation

    w*(2w-5) = 52 m^2.



From the equation,

    2w^2 - 5w - 52 = 0.



Use the quadratic formula

     =  =  = .



You need the positive root  w =  = 6.5 m.     



ANSWER.  The width is 6.5 meters;  the length is  2*6.5 - 5 = 8 meters.



CHECK.   6.5*8 = 52 m^2.    ! Correct !


Solved.



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