SOLUTION: [ A rectangular picture measures 6 inches by 9 inches. If a copy machine makes each of the two dimensions 1+1/3 larger, what is the percent increase in the area of the picture? ]

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Question 823250: [ A rectangular picture measures 6 inches by 9 inches. If a copy machine makes each of the two dimensions 1+1/3 larger, what is the percent increase in the area of the picture? ]
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
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original area:
a = Lw
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scale factor:
s = 1+1/3 = 4/3
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scaled area:
A = sL*sw
A = ss*Lw
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percent increase in area:
p = A/a * 100
p = ss*Lw/Lw * 100
p = ss * 100
p = (4/3)^2 * 100
p = 177.777777
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answer:
p ~= 177.8% increase in area
in other words, not quite a doubling of the area
note that the original dimensions of the picture do not matter at all in this calculation
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