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 $a/b = c/d; " "ad = bc$

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

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

A model deck is 9 i n9 i n. by 16 i n16 i n. How do you use the scale 1/2 i n : 1 ft1/2 i n : 1 ft to find the dimensions of the actual deck?