Question

A contractor uses a scale drawing of an office floor to determine the amount of carpet he needs to buy 1/4 inch = 4.5 feet the width in the scale drawing of the office floor is 6.4 inches what is the actual width of the office floor

Answer 1

A scale drawing is a method of drawing that requires either increasing or decreasing the dimensions of a given object. So then, the actual width of the office floor is: 115.2 feet.

A representative factor is a factor the can be used to either increase or decrease the dimensions of an object. It is sometimes referred to as a scale factor.

In the given question, the scale factor is given as:

$\frac{ 1 }{4}$ inch = 4.5 feet

Given that the width in the scale drawing of the office floor is 6.4 inches, let the actual width be represented by x.

So then;

$\frac{ 1 }{4}$ inch = 4.5 feet

6.4 inches = x

x = $\frac{6.4 *4.5}{\frac{1}{4} }$

  = $\frac{28.8}{0.25}$

x = 115.2

Therefore, the actual width of the office floor is 115.2 feet.

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