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4. A square field had 5 m added to its length and 2 m added
to its width. The field then had an area of 130 m². Find the
length of a side of the original field.

Respuesta :

absor201

The length of side of the original field is 8 meters

Step-by-step explanation:

Let x be the original side of the square field

Then the new sides will be

x+2 and x+5

And

Area = 130

The area is given by:

[tex]A=side*side[/tex]

Putting the values in the formula

[tex]130= (x+2)(x+5)\\(x+2)(x+5) = 130\\x^2+7x+10 = 130\\x^2+7x+10-130 = 0\\x^2+7x-120 = 0\\x^2+15x-8x-120 = 0\\x(x+15)-8(x+15)=0\\(x-8)(x+15) = 0[/tex]

Either x-8 = 0 => x=8

Or x+15 = 0 => x=-15

As the measurement of length cannot be negative, so only positive values

So,

The length of side of the original field is 8 meters

Keywords: Factorization, Linear factors

Learn more about factorization at:

  • brainly.com/question/8811218
  • brainly.com/question/8628615

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