Answered

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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?

Sagot :

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:

[tex]\frac{14}{x}=\frac{28}{30}[/tex]

Cross multiplying, we get:

[tex]\begin{gathered} 28x=14\times30 \\ \\ Dividing\text{ both sides by 28, we get} \\ \\ x=\frac{14\times30}{28}=\frac{30}{2}=15\text{ in.} \end{gathered}[/tex]

Step 2:

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

By formula, the perimeter is:

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

Substituting these values in the formula, we get:

[tex]P=2(14+15)=2\times29=58\text{ inches}[/tex]

Therefore, the correct answer is 58 inches.

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