Question

A container is 25ft × 50ft.If you have to draw using the scale 1 inch:5ft,what are the dimensions of the container that you will draw?

Answer 1

Set up a proportion to answer this:

`\frac{1 \text{in}}{5 \text{ft}}= \frac{x \text{in}}{25 \text {ft}}`
Cross multiply:

`5*x=1*25 \\ 5x=25`
Divide both sides by 5:

`(5x)/(5)= (25)/(5) \\ x=5`
The scale model that matches the 25 ft side of the container will be 5 inches.
The second proportion:

`\frac{1 \text{in}}{5 \text{ft}} = \frac{x \text{in}}{50 \text{ft}}`
Cross multiply:

`5*x=1*50 \\5x = 50`
Divide both sides by 5:

`(5x)/(5)= (50)/(5) \\x = 10`
The part of the scale model that matches the 50 ft side of the container will be 10 inches.