If a rectangle has a width of 7 centimeters less than it's length, and it's area is 330 square centimeters. What are it's length and width

length 22 cm width 15 cm

Step-by-step explanation:

If we assume the length and width are integer numbers of centimeters, we can look at the factors of 330:

330 = 1*330 = 2*165 = 3*110 = 5*66 = 6*55 = 10*33 = 11*30 = 15*22

The factors in this last pair differ by 7, so represent the width and length of the rectangle.

The rectangle's length and width are 22 cm and 15 cm, respectively.