Respuesta :

2x = 2√17 and 3x = 3√17

Step-by-step explanation:

  • Step 1: Given length of the rectangle is 3x and breadth is 2x. Area is 102 m². Area of the rectangle = length × breadth

102 = 2x × 3x = 6x²

x² = 102/6 = 17

x = √17

Length 2x = 2√17 and Breadth = 3x = 3√17

Answer:

The answer to your question is     2x = 2[tex]\sqrt{17}[/tex]   and     3x = 3[tex]\sqrt{17}[/tex]

Step-by-step explanation:

Data

A = 102 m²

2x = ?

3x = ?

Formula

Area of a rectangle = base x height

Process

1.- Substitute values in the formula

              102 = (2x)(3x)

2.- Simplify

              102 = 6x²

              102/6 = x²

                 17 = x²

                  x = [tex]\sqrt{17}[/tex]

3.- Find 2x and 3x

    2x = 2[tex]\sqrt{17}[/tex]

     3x = 3[tex]\sqrt{17}[/tex]

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