SOLUTION: The ratio of the width to length of a rectangular patio is 2:3. If the length of the patio is 6 yards, find the area of the patio in square feet.

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Question 828677: The ratio of the width to length of a rectangular patio is 2:3. If the length of the patio is 6 yards, find the area of the patio in square feet.
Answer by TimothyLamb(4379) (Show Source):
You can put this solution on YOUR website!
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y/x = 2/3
x = 6*3 ft
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put the system of linear equations into standard form:
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y = (2/3)x
x = 18
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(2/3)x - y = 0
x = 18
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0.666666x - y = 0
x = 18
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solution by matrix method:
x = 18 ft
y = 12 ft
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area = xy = 18*12
area = xy = 216 sq.ft
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now by substitution:
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y = (2/3)x
x = 18
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y = (2/3)*18
y = 2*6
y = 12
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solution by substitution method:
x = 18 ft
y = 12 ft
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