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The rectangular floor of a classroom is 28 feet in length and 30 feet in width. A scale drawing of the floor has a length of 14 inches. What is the perimeter, in inches, of the floor in the scale drawing?

1 Answer

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The Solution:

Given:

Required:

To find the perimeter (in inches) of the floor in the scale drawing.

Step 1:

Find the value of x.

By the similarity theorem:


(14)/(x)=(28)/(30)

Cross multiplying, we get:


\begin{gathered} 28x=14*30 \\ \\ Dividing\text{ both sides by 28, we get} \\ \\ x=(14*30)/(28)=(30)/(2)=15\text{ in.} \end{gathered}

Step 2:

Find the perimeter, in inches, of the floor in the scale drawing.

By formula, the perimeter is:


\begin{gathered} P=2(L+W) \\ \text{ Where:} \\ L=14\text{ inches} \\ W=x=15\text{ inches} \\ P=perimeter=? \end{gathered}

Substituting these values in the formula, we get:


P=2(14+15)=2*29=58\text{ inches}

Therefore, the correct answer is 58 inches.

The rectangular floor of a classroom is 28 feet in length and 30 feet in width. A-example-1
User Chude
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