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Question 972647: If a photo is 4cm by 6 cm and you which to enlarged it 150%. What would be the new length and width?
Suppose you use 2cm by 3 cm copy of the original 4cm by 6cm. What percent should you use?
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! if you start with a 4 by 6 and you want to increase the dimensions by 150%, then you would multiply each of the dimensions by 1.5.
4*1.5 = 6
6*1.5 = 9
your new dimensions are 6 by 9.
the original dimensions are increased to 150% of what they were.
if you start with 4 by 6 and you want to decrease the dimensions to 2 by 3, then you would multiply each of the dimensions by .5.
4*.5 = 2
6*.5 = 3
your new dimensions are 2 by 3.
the original dimensions are reduced to 50% of what they were.
note that you are increasing or decreasing the dimensions.
the area will be increased or decreased by the square of this.
your original is 4 by 6.
your new is 6 by 9.
the dimensions of the 6 by 9 are 150% of the dimensions of the 4 by 6.
the area of the 6 by 9 is 54 and the area of the 4 by 6 is 24
54/24 = 2.25.
the area has been increased to 225% of its original size.
take 150% and square it and you get 1.5^2 = 2.25 = 225%
you have to convert the percent to a decimal equivalent before squaring it.
150% decimal equivalent is 150/100 = 1.5
your original is 4 by 6
your new is 2 by 3.
the dimensions of the 2 by 3 are 50% of the dimensionf of the 4 by 6.
the area of the 2 by 3 is 6 and the area of the 4 by 6 is 24.
6/24 = .25.
the area has been decreased to 25% of its original size.
take 50% and square it and you get .5^2 = .25 = 25%.
you have to convert the percent to a decimal equivalent before squaring it.
50% decimal equivalent is 50/100 = .5
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