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

Question

Mathematics

Bizzy

10 September, 07:20

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

+1

Answers (2)

Know the Answer?

Bones · Answer 1

Step-by-step 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

=

Daniella · 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