Question

Part A: The area of a square is (16x2 + 24x + 9) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points)

Part B: The area of a rectangle is (4x2 − 49y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)

(10 points)

Answer 1

Part A
9x^2 + 24x + 16
= (3x + 4)(3x + 4)
length of each side =?
Par B
16x^2 - 25y^2
= (4x + 5y )( 4x - 5y)
length =?

Answer 2

Yeah, I think that is right

For part A . . .
\[9x^2 + 24x + 16= (3x + 4)(3x + 4)\]
So with that you can find the length of all sides.

And for part B
\[16x^2 - 25y^2= (4x + 5y )( 4x - 5y)\]

So now we can find the length and width

\[length=?\\width=?\]