Respuesta :

Width=x m
length=2x-3
Area=14m^2
L×b=14
(2x-3)×x=14
2x^2-3x-14=0
2x^2-(7-4)x-14=0
2x^2-7x+4x-14=0
x(2x-7)+2(2x-7)=0
(2x-7)(x+2)=0
x=7/2 and x=-2does not exist because side cannot be negative
so x=7/2
Width=7/2m
Length=7/2×2-3=4m

Answer: The answer of this question is that length=4m and width=7/2m

Area of Rectangle

Area is the quantity that expresses the extent of a region on the plane or on a curved surface. The formula to calculate the area of rectangle is as follows:

    Area of rectangle=Length* Breadth

How to calculate dimensions of the rectangle?

We are given that the length of the rectangle is 3m less than twce the width and the area of the rectangle is 14[tex]m^{2}[/tex].

Let the width of the rectangle is x m

so the length becomes 2x-3 m

Area = (2x-3)*x

  14=2[tex]x^{2}[/tex]-3x

   2[tex]x^{2}[/tex]-3x-14=0

   2[tex]x^{2}[/tex]-7x+4x-14=0

   x(2x-7)+2(2x-7)=0

    (x+2)(2x-7)=0

    x+2=0     , 2x-7=0

     x=-2(neglect)       ,  x=7/2 (taken)

     put in 2x-3 to calculate length of rectangle = 2(7/2)-3

                                                                        =4m

  Hence the length of the rectangle is 4m and the width is 7/2 m

Learn more about area of rectangle on    https://brainly.com/question/25292087

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