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A rectangular television screen has an area of w^2 + 2w square inches if the width of the television screen is w inches, what is the length of the television?

Respuesta :

Tucon

 

The area of a rectangle is:

A =  length × width

A rectangular television screen has an area:

A = w² + 2w inches²

width = w

length = A / width  = (w² + 2w) / w = w(w + 2) / w = w + 2

Ansver:

length = w + 2

Lanuel

The length of this rectangular television is equal to w + 2 inches.

Given the following data:

Area = [tex]w^2+2w[/tex] square inches.

Width = w inches.

How to calculate the area of a rectangle.

Mathematically, the area of a rectangle is given by this formula:

[tex]A=LW[/tex]

Where:

  • L is the length.
  • W is the width.
  • A is the area.

Substituting the given parameters into the formula, we have;

[tex]w^2+2w=Lw\\\\L=\frac{w^2+2w}{w} \\\\L=w+2\;inches[/tex]

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