a square has an area of 49x^2 - 56x + 16 square meters. which expression represents the length of each side, in meters?

a. 7x + 4

b. 7x - 4

c. 28x - 16

d. (28x - 16)^2

please help!

Respuesta :

b. 7x - 4 is the correct answer

Step-by-step explanation:

Given

Area of square = A = [tex]49x^2-56x+16[/tex]

Let s be the side of the square

Then

A = s^2

Putting the values we get

[tex]49x^2-56x+16=s^2[/tex]

Taking Square root on both sides

[tex]\sqrt{49x^2-56x+16}=\sqrt{s^2}\\s=\sqrt{49x^2-56x+16}\\s=\sqrt{(7x)^2-2(7x)(4)+(4)^2}\\Using\ formula\ a^2-2ab+b^2=(a-b)^2\\s=\sqrt{(7x-4)^2}\\s=7x-4[/tex]

b. 7x - 4 is the correct answer

Keywords: Area, Polynomials

Learn more about polynomials at:

  • brainly.com/question/4279146
  • brainly.com/question/4354581

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