The area of a rectangle porch is (9x+18) square units factor 4x-8 to find possible dimensions of the dance floor

The area of rectangle is: (9x+18)=9(x+2) or 3(3x+6)

And we have given one dimension 4x-8

And area of rectangle is: length x breadth

We will have two  possible cases:

(1) 4x-8=9

x=17/4

The other dimension will be from (x+2):

(2) 4x-8=3

x=11/4

The other dimension will be from (3x+6):

here is a big fat

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct