a square has an area of 49x^2 - 56x + 16 square meters. which expression represents the length of each side, in meters? a. 7x + 4b. 7x - 4c. 28x - 16d. (28x - 16)^2please help!
Accepted Solution
A:
b. 7x - 4 is the correct answerStep-by-step explanation:GivenArea of square = A = [tex]49x^2-56x+16[/tex]Let s be the side of the squareThenA = s^2Putting 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 answerKeywords: Area, PolynomialsLearn more about polynomials at:brainly.com/question/4279146brainly.com/question/4354581#LearnwithBrainly