Answer:
32 pavers
Step-by-step explanation:
step 1
Find out the area of one square paver
The area of a square is

where
s is the length side of the square
we have

substitute

step 2
Find out the area of the rectangular patio
we know that
The area of a rectangle is

we have

substitute

step 3
Find out the number of pavers needed to build the patio
Divide the area of the rectangular patio by the area of one paver

AC
Same line segment just goes in the other direction.
The answer is x=3, so that is false.
The dimensions that would result to maximum area will be found as follows:
let the length be x, the width will be 32-x
thus the area will be given by:
P(x)=x(32-x)=32x-x²
At maximum area:
dP'(x)=0
from the expression:
P'(x)=32-2x=0
solving for x
32=2x
x=16 inches
thus the dimensions that will result in maximum are is length=16 inches and width=16 inches