SOLUTION: Width of a rectangle is 5 ft less than the lenght. the area is 6ft^2. find the length and the width

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Question 191594: Width of a rectangle is 5 ft less than the lenght. the area is 6ft^2. find the length and the width
Answer by douger(3) About Me  (Show Source):
You can put this solution on YOUR website!
area = width * length = 6ft%5E2 = 36
length = L
width = length - 5 = L-5
L(L-5) = 36
L%5E2-5L = 36
(subtract 36 from both sides)
L%5E2-5L-36 = 0
(need to find 2 numbers such that when multiplied together they equal 36)
(9 and 4 work)
L%5E2-5L-36 = (L-9)(L+4) = 0
width = 9
length = 4