Question

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?

Answer 1

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.