Question

A scale model of a house is 1ft long. The actual house is 50 ft long. In the model, the window is 1-1/2 in.high. How m any feet height is the actual window?

Answer 1

Let's begin by listing out the information given to us:

scale model: length = 1 foot, window = 1 1/2 inch = 1.2 in

actual house: length = 50 feet, window = ?

Let's state it in direct proportion form as shown below:

1 ft = 1.2 in

50 ft = x

We cross multiply to solve for the unknown variable (x), we have:

`\begin{gathered} 1ft\cdot x=1.2in\cdot50ft \\ x\cdot ft=60\cdot ft\cdot in \\ \text{divide both sides by 'ft', we have:} \\ x=60in \end{gathered}`