Question

Rebecca's friend Steve is creating thefurniture for the scale model of Hogwartsusing the same scale of 2 in: 5 ft. IfProfessor McGonagall's desk is 6 feetwide and 3 feet tall, what will it's widthand height be in the model? (Hint: Createtwo proportions.)

Answer 1

From the statement we know that:

0. Steve is using the scale of 2in : 5ft (model dimensions : real-life dimensions).

,

1. The dimensions of the desk are w = 6ft wide and t = 3ft tall.

From point 1 we compute the proportion r between the dimensions in the model and the real-life dimensions:

`r=(2in)/(5ft)\text{.}`

Now, using the proportion r we compute the dimensions of the model multiplying the real-life dimensions of point 2 by the proportion r:

`\begin{gathered} w_{\text{model}}=r\cdot w_{\text{real}-\text{life}}=(2in)/(5ft)\cdot6ft=(12)/(5)\cdot in=2.4in, \\ t_{\text{model}}=r\cdot t_{\text{real}-\text{life}}=(2in)/(5ft)\cdot3ft=(6)/(5)\cdot in=1.2in, \end{gathered}`

where we used a calculator to compute the fractions and we got:

• 12/5 = 2.4,

,

• 6/5 = 1.2.

Answer

- The width of the desk in the model is 2.4in.

- The tall of the desk in the model is 1.2in.

0.