SOLUTION: If the sides of a square are lengthened by 6cm the area becomes 100cm^2. Find the length of a side of the original square. The length of a side of the original square is _____ c

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Question 573047: If the sides of a square are lengthened by 6cm the area becomes 100cm^2. Find the length of a side of the original square.
The length of a side of the original square is _____ cm.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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If the sides of a square are lengthened by 6cm the area becomes 100cm^2. Find the length of a side of the original square.
(x+6)(x+6) = 100
FOIL
x^2 + 6x + 6x + 36 - 100 = 0
x^2 + 12x - 64 = 0
Factors to
(x+16)(x-4) = 0
The positive solution
x = 4
:
Check: (4+6) * (4+6) = 100
:
The length of a side of the original square is 4 cm.