SOLUTION: if each side of square is increased by 12cm the area is increased by 240cm.what is the lenght of the side of the original square

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Question 470892: if each side of square is increased by 12cm the area is increased by 240cm.what is the lenght of the side of the original square
Answer by ptaylor(2198) About Me  (Show Source):
You can put this solution on YOUR website!
Let x=length of side of original square
Then x^2=area of original square
(x+12)=length of new square
And (x+12)^2=x^2+24x+144=area of new square
Now we are told that:
x^2+24x+144-x^2=240 sq cm. Sooooo
subtract 144 from each side
x^2+24x-x^2+144-144=240-144 collect like terms
24x=96
x=4 cm-----ans
CK
16*16=256
4*4=16
256-16=240
240=240

Hope this helps---ptaylor