SOLUTION: if the sides of a square are lengthened by 6cm, the area becomes 121 cm squared. Find the length of a side of the original square

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Question 630934: if the sides of a square are lengthened by 6cm, the area becomes 121 cm squared. Find the length of a side of the original square
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 121 cm squared. Find the length of a side of the original square
:
let x = side of the original square
then
(x+6) = side of the larger square
:
(x+6)^2 = 121
Find the square root of both sides
x + 6 = sqrt%28121%29
x + 6 = 11
x = 11 - 6
x = 5 cm is the side of the original square