Question 816660: [ A long wire is cut into three smaller pieces in the ratio of 7:3:2. if the shortest piece is 16 cm, what is the area of the rectangle with the largest area that can be created using the longest piece? ]
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! a = (7/12)L
b = (3/12)L
c = (2/12)L
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c = 16 cm
c = (2/12)L
16 = (2/12)L
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L = 16(12/2)
L = 96 cm
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a = (7/12)L
a = (7/12)96
a = 56 cm
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b = (3/12)L
b = (3/12)96
b = 24 cm
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a is the longest piece at 56 cm
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what is the area of the rectangle with the largest area that can be created using the longest piece?
it's actually a square, so:
L = w = (1/4)56
L = w = 14
a = Lw = 14^2
a = 196 sq.cm
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