You are knitting a blanket. You want the area of the planet to be 24ft^2. You want the length of the blanket to be 2ft longer than it's worth. What should the dimensions of the blanket be?
the area of the blanket - 24 ft² length being longer than the width means that blanket is a rectangle width of the blanket = x length of blanket = x +2 area = length * width area = x * (x+2) = x² + 2x since area = 24 x² + 2x = 24 x² + 2x - 24 = 0 we have a quadratic equation and we need to now solve for x x² + 6x - 4x - 24 = 0 x (x + 6) - 4(x + 6) = 0 (x-4) (x+6) = 0 x-4 = 0 or x + 6 = 0 x = 4 or x = -6 x could be either 4 or -6. since dimensions cannot have negative values, x ≠ -6 therefore x = 4 width = 4 ft length = 6 ft
