Question

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

Answer 1

b. 7x - 4 is the correct answer

Step-by-step explanation:

Given

Area of square = A = $49x^2-56x+16$

Let s be the side of the square

Then

A = s^2

Putting the values we get

$49x^2-56x+16=s^2$

Taking Square root on both sides

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

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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