Respuesta :

nathan127
Area of rectangles = width * length.
So x*12 = 12x = area of first rectangle
So 16*(x-2) = 16x -32 = area of second rectangle

The question states to make them equal, so:
first rectangle = second rectangle
12x = 16x -32
Solve for x
-4x = -32
4x = 32
x = 8

 
  • The rectangular area to find the area that these objects occupy.  
  • The area of the rectangle is the multiplication of the length and width.

Using formula:

  • Area of rectangles = width [tex]\bold{\times}[/tex] length.

Using the first image to calculate the area:

[tex]\to \bold{ x\times 12 = 12x }[/tex]

Using the second image to calculate the area:

[tex]\to \bold{16\times (x-2) = 16x -32 }[/tex]

equalling both the area:

[tex]\to \bold{12x = 16x -32}\\\\\to \bold{32 = 16x -12x}\\\\\to \bold{32 = 4x }\\\\\to \bold{4x=32 }\\\\\to \bold{x=\frac{32}{4}}\\\\\to \bold{x=8}\\\\[/tex]

Learn more:

Find x: brainly.com/question/22188924

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