SOLUTION: Jack and Jill are planning a new kitchen. The old kitchen measured 12 feet by 18 feet. The new kitchen is similar in shape, but the longest dimension is 21 feet. What is the smalle

Algebra ->  Algebra  -> Signed-numbers -> SOLUTION: Jack and Jill are planning a new kitchen. The old kitchen measured 12 feet by 18 feet. The new kitchen is similar in shape, but the longest dimension is 21 feet. What is the smalle      Log On

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Question 37313: Jack and Jill are planning a new kitchen. The old kitchen measured 12 feet by 18 feet. The new kitchen is similar in shape, but the longest dimension is 21 feet. What is the smaller dimension of the new kitchen?
Answer by fractalier(2101) About Me  (Show Source):
You can put this solution on YOUR website!
This is a proportion problem. We write
12 is to 18 as x is to 21, or in fractions,
12/18 = x/21
Cross multiplying, we get
18x = 252 and
x = 14