A model deck is #9 i n#. by #16 i n#. How do you use the scale #1/2 i n : 1 ft# to find the dimensions of the actual deck?

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Answer 1 · 2018-05-15T03:44:02

#18 " ft" xx 32 " ft"#

Given: model is #9 " in" xx 16 " in"; " scale" = 1/2 " in": 1 " ft"#

You can set up two proportions to solve this problem:

#(9 " in")/(.5 " in") = (x " ft")/(1 " ft")#

#(16 " in")/(.5 " in") = (y " ft")/(1 " ft")#

Use the cross-product to solve #a/b = c/d; " "ad = bc#

#.5x = 9; " "x = 9/.5 = 9*2 = 18 " ft"#

#.5y = 16; " "y = 16/.5 = 16*2 = 32 " ft"#