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sdas [7]
3 years ago
12

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.

Mathematics
1 answer:
Alenkasestr [34]3 years ago
8 0

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.

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