Question

I need help like quick please
Rhett decides to build a square room for his movie and music collection. If the area of the room is 4x2 + 28x + 49 square feet, what is the length of one side of the room?

(7x + 2) feet

(2x + 7) feet

(2x − 7) feet

(7x − 2) feet

and

Given the following perfect square trinomial, fill in the missing term.

x2 − 16x + ____

Numerical Answers Expected!

Answer 1

4x^2+28x+49 = (2x+7)^2
Since the room is square, its area formula is A = s^2, where s = length of one side
so the length of one side = the square root of the equation, which = (2x+7) feet

Answer 2

@Shawna.marie

Answer 3

Thanks:)

Answer 4

No problem! :)

Answer 5

the formula is \((a+b)^2=a^2+2ab + b^2\).
you have \((x+*)^2 = x^2 + 2x* + *^2\). You are told that \(2x* = 16x\). You can find \(*\) and then the missing term.

Answer 6

edit: \(2x* = -16x\) (minus sign)