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

Answer:

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

Step-by-step 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:

$r = \frac{4\,in}{5\,ft}$

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

Length

$l' = \frac{16\,in}{\frac{4\,in}{5\,ft} }$

$l' = 20\,ft$

Width

$w' = \frac{25\,in}{\frac{4\,in}{5\,ft} }$

$w' = 31.25\,ft$

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