Question

The area of a square is (36d^2 - 360d + 9) in^2.

a. What expression represents the length of a side of the square?
b. What expression represents the perimeter of the square?
c. What are the length of a side, the perimeter, and the area of the square when d = 2 in.?

I need help like, seriously.

Answer 1

Explanation:

36 d²-36 d+9=9(4d²+4d+1)

=9[4d²+2d+2d+1]

=9[2d(2d+1)+1(2d+1)]

=9(2d+1)(2d+1)

=9(2d+1)²

=[3(2d+1)]²

=(6d+6)²

length=6d+6

perimeter=4(6d+6)=24d+24

when d=2

length=6×2+6=18in

perimeter=4×18=72 in

area=18²=324 in²