You are knitting a blanket. you want the area of the blanket to be 24 feet squared . you want the length of the blanket to be 2 ft longer than its width. what should the dimensions of the blanket be?

Define x:

Let the width be x.
Width = x
Length = x + 2


Construct equation:

x (x + 2) = 24
x² + 2x = 24
x² + 2x - 24 = 0
(x - 4) (x + 6) = 0
x = 4  or x = - 6 (rejected, length cannot be negative)


Find the length and Width

Width = x = 4
Length = x + 2 = 4 + 2 = 6


  The dimension is 6 feet by 4 feet.