Question 1166618
.
<pre>

    L + W = 48/2 = 24 cm


    L*W = 135  cm^2,   or


    w*(24-W) = 135


    24W - W^2 = 135


    W^2 - 24W + 135 = 0


Factor left side


    (W-15)*(W-9) = 0


There are two roots,  W = 15  and  W = 9.


The dimensions of the rectangle are 9 cm (the width) and 15 cm (the length).       <U>ANSWER</U>
</pre>

Solved.


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To see million of similar solved problems, look into the lessons

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Surface-area/Problems-on-the-area-and-the-perimeter-of-a-rectangle.lesson>Problems on the area and the dimensions of a rectangle</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Surface-area/Three-methods-to-find-the-dimensions-of-a-rectangle-when-the-givens-are-its-perimeter-and-the-area.lesson>Three methods to find the dimensions of a rectangle when its perimeter and the area are given</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Surface-area/Three-methods-to-find-the-dims-of-a-rectangle-when-its-area-and-the-diff-of-dims-are-given.lesson>Three methods to find the dimensions of a rectangle when its area and the difference of two dimensions are given</A> 

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