Question

4. A square field had 5 m added to its length and 2 m added

Answer 1

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:

$A=side*side$

Putting the values in the formula

$130= (x+2)(x+5)\\(x+2)(x+5) = 130\\x^2+7x+10 = 130\\x^2+7x+10-130 = 0\\x^2+7x-120 = 0\\x^2+15x-8x-120 = 0\\x(x+15)-8(x+15)=0\\(x-8)(x+15) = 0$

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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