Question

(08.05, 08.06 MC)

Part A: The area of a square is (16x2 - 8x + 1) square units. Determine the length of each side of th
square by factoring the area expression completely. Show your work. (5 points)

Answer 1

A=16x²-8x+1

16x²-8x+1=l²

(16x²-4x)-(4x+1)=l²

4x(4x-1)-1(4x-1)=l²

x=1/4 or 1

Therefore

since x=1/4

l²=1/4=>l=>√(1/4)

l=1/2

since x=1

l²=1=>l=>√1

l=1

Therefore the length of each sides

1 or 1/2