Question 170721This question is from textbook Intermediate algebra
: A designer, attempting to arrange the characters of his artwork in the form of a square grid with equal number of rows and columns, found that 24 characters were left out. When he tried to add one more row and column, he found that he was short of 25 characters. Can you find the number of characters used by the designer?
Not sure how to start on this one? I am not good at word problems
This question is from textbook Intermediate algebra
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A designer, attempting to arrange the characters of his artwork in the form of a square grid with equal number of rows and columns, found that 24 characters were left out. When he tried to add one more row and column, he found that he was short of 25 characters. Can you find the number of characters used by the designer?
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Original arrangement DATA:
Let the number or rows and columns be "x"
# of characters is x^2 + 24
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Changed arrangement DATA:
Number of rows and columns is "x+1"
# of characters is (x+1)^2 -25
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EQUATION:
# of characters = # of characters
x^2 + 24 = (x+1)^2 - 25
x^2 + 24 = x^2 + 2x + 1 -25
24 = 2x - 24
2x = 48
x = 24
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Ans: # of characters = 24^2+24 = 600
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Cheers,
Stan H.
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