A scale model house is 1 ft long. The actual house is 50 ft of a 14. long. In the model, the window is 15 in. high. How many feet high is the actual window?

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Answer 1 · 2017-06-12T18:46:52

$color(brown)("The question is not clear. ")$

$color(brown)("Demonstrates the method - the numbers I chose must be wrong")$

Let the actual height of the window be $h_w$

Using ratio in fractional form:

$("actual length")/("scale length")" "->" "50/1" "-=" "(h_w" inches")/(15" inches")$

Where $-=$ means 'equivalent to.

Multiply both sides by $color(red)(15)$

$color(green)(50/1color(red)(xx15)" "=" "h_w/15 color(red)(xx15))$

$50xx15" "=" "h_wxx15/15$

but $15/15$ is the same as the value 1 giving

$h_w" "=" "50xx15" "=" "750" inches"$

$h_w" "=" "750/12" feet "=" "62 1/2" feet"$