Question

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

Answer 1

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):
`(17)/(4)+2=(25)/(4)`

(2) 4x-8=3

x=11/4

The other dimension will be from (3x+6):
`3((11)/(4))+6=(57)/(4)`