Question

The rectangle is 16 inches by 25 inches. If the scale is 4 in :5 ft what is the length and width of the rectangle in feet.

Answer 1

The length and width of the rectangle are 20 feet and 31.25 feet, respectively.

Explanation:

Let the scale be
`4\,in\,:\,5\,ft` and the dimensions of the rectangle being 4 inches and 5 inches, respectively. The scale (
`r`), measured in inches per feet, is equivalent to the following rational number:

`r = (4\,in)/(5\,ft)`

We can convert each length by dividing it by scale factor. That is:

Length

`l' = (16\,in)/((4\,in)/(5\,ft) )`

`l' = 20\,ft`

Width

`w' = (25\,in)/((4\,in)/(5\,ft) )`

`w' = 31.25\,ft`

The length and width of the rectangle are 20 feet and 31.25 feet, respectively.