work the area of a rectangle out but already knowing the area and needing to know the length as it is two centermeters more than the width, area being 469
the area of a rectangle is the length times width: a = l*w the length is 2 centimeters more than the width: l = w + 2 express area in terms of width a = l*w a = (w + 2)w a = w^2 + 2w w^2 + 2w = 469 w^2 + 2w - 469 = 0 we can solve using the general quadratic formula: w = (-2 +- √(4 + 1876))/2 w = (-2 +- 43.36)/2 we use the positive solution: w = (-2 + 43.36)/2 w = 20.68 thus the width is 20.68 cm l = w + 2 = 20.68 + 2 l = 22.68 and the length is 22.68 cm
