The width of a rectangle is 1 units less than the length. The area of the rectangle is 56

units. What is the width, in

Units

Width = 7 units

Step-by-step explanation:

Length = x units

Width = (x - 1) units

Area = 56 square units

length * width = 56

x * (x - 1) = 56

x*x - x*1 = 56

x² - x - 56 = 0

x² - 8x + 7x - 7*8 = 0

x (x - 8) + 7 (x - 8) = 0

(x - 8) (x + 7) = 0

Here, (x + 7) is ignored because measurement will not in negative.

x - 8 = 0

x = 8

Length = 8 units

Width = 8-1 = 7 units

Width