Width of the rectangle is 1 unit
Step-by-step explanation:
- Step 1: Let the length of the rectangle be x. Then the width = x - 5. Find dimensions of the rectangle if its area = 6 sq. units
Area of the rectangle = length × width
6 = x (x - 5)
6 = x² - 5x
x² - 5x - 6 = 0
x² - 6x + x - 6 = 0 (Using Product Sum rule to factorize)
x(x - 6) + 1(x - 6) = 0
(x - 6)(x + 1) = 0
x = -1, 6 (negative value is neglected)
x = 6 units
x - 5 = 1 unit
