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The area of a rectangle is 117 square meters. The length is represented by 4+x and the width is
represented by x. What is the length of the rectangle?

Respuesta :

The length of the rectangle is 13 meters.

Given that,

  • The area of a rectangle is 117 square meters.
  • The length is represented by 4+x and the width is  represented by x.

We know that

The following formula should be used:

[tex]Area = length\times width\\\\117m^2 = (4+x) \times (x)\\\\117m^2 = 4x + x^2\\\\4x + x^2 - 117 = 0\\\\x^2 +4x - 117\\\\x^2 -9x +13x - 117\\\\x (x - 9) + 13(x - 9)\\\\(x + 13) (x - 9)[/tex]

x = 9

So, the length should be

= 4 + 9

= 13

Therefore we can conclude that the length of the rectangle is 13 m.

Learn more about the rectangle here: brainly.com/question/16167300

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