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A rectangle has a length 2m less than twice its width. When 2m are added to the​ width, the resulting figure is a square with an area of 36m^2. Find the dimensions of the original rectangle

Respuesta :

sqdancefan

Answer:

  • width: 4 m
  • length: 6 m

Step-by-step explanation:

You want the dimensions of a rectangle if adding 2 m to its width makes it a square with an area of 36 m².

Square dimensions

The area of a square is the square of its side length, so the side length of the square is ...

  A = s²

  s = √A = √(36 m²) = 6 m

Rectangle

The problem statement tells you this dimension is 2 m more than the width of the rectangle. Hence that width is ...

  6 m - 2m = 4 m

The rectangle is 4 m wide and 6 m long.

Check

The length is 2 m less than twice the width: (2)(4 m) -2 m = 6 m, the value we show above.

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