The rectangle is 6.24 units long and 12.48 units wide whereas the Dimensions of the square is [tex]\sqrt{39}[/tex] unit.
The length of a rectangle is twice the width.
Area of rectangle= 78 sq unit
Now a rectangle is divided into two parts with equal area. so we divide 78 by 2 = 39 Sq unit
so we get the area of square as 39.
Let the side of square be x
Area of Square=[tex]x^{2}[/tex]= 39
              [tex]x=\sqrt{39}[/tex]
Side of the square =[tex]\sqrt{39}[/tex]=6.24 unit
Now Length of rectangle = A
    Breadth of rectangle = B=2[tex]x[/tex]=2[tex]\sqrt{39}[/tex]=12.48 unit
Area of rectangle = A x B =78
               = Ax 12.48=78
               = A=[tex]\frac{78}{12.48}[/tex]=6.24unit
Hence all the required Dimensions are obtained.
You can find more about dimensions: https://brainly.com/question/11583754
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