Answer: 12cm =width, 6cm = length
Step-by-step explanation:
L = w-6 substitute that vakue in the formuls L × w = Area
w(w-6) = 72
w² - 6w = 72
w²- 6w -72 = 0 Factor this quadratic equation
(w -12)(w +6) set factors to equal zero and solve for w
w + 6 = 0 becomes w - 6 so discard, as rectangles cant have negative dimensions.
w -12 = 0 solved is w = 12
substitute into original equation L= w-6
L = 12 - 6 L= 6
