Question

The area of a square window is 64x^2+96x+36. What is an expression for the side length of the window?

Answer 1

Explanation:

area of square=64x²+96x+36=4[16x²+24x+9]

=4[16x²+12x+12x+9]

=4[4x(4x+3)+3(4x+3)]

=4(4x+3)(4x+3)

=4(4x+3)²

=[2(2x+3)]²

=(4x+6)²

side length=4x+6

=

Answer 2

36x^2+96x+64 = 9x^2 + 24x + 16 = (3x + 4)^2

\text {Area } = 36x^2+96x+64

\text {Area } = (3x + 4)^2

\text {Area} = \text{ length}^2

\text {Length} = 3x + 4

Explanation: