Answer :

The expression for area of the rectangle is  1/ 6 ( 46x - 23)

What is the area?

The formula for determining the area of a rectangle is expressed as;

Area = length × width

From the information given, we have:

  • Width = 12x - 6
  • length =  4 - 1/ 6 = 24 -1  / 6 = 23/6

Now, let's substitute the values into the formula

Area = (12x - 6) 23/ 6

expand the bracket

Area = 276x - 138/ 6

Area = 1/ 6 ( 46x - 23)

Thus, the expression for area of the rectangle is 1/ 6 ( 46x - 23)

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