Question

the rectangular floor of a classroom is 22 feet in length and 24 feet in width. a scale drawing of the floor has a length of 11 inches. what is the perimeter, in inches, of the floor in the scale drawing?

Explanation:

Step1: Find the scale factor

The actual length is 22 feet, which converts to $22 \times 12 = 264$ inches. The scaled length is 11 inches.
Scale factor $= \frac{\text{scaled length}}{\text{actual length}} = \frac{11}{264} = \frac{1}{24}$

Step2: Find scaled width

Actual width is $24 \times 12 = 288$ inches.
Scaled width $= 288 \times \frac{1}{24} = 12$ inches

Step3: Calculate scaled perimeter

Perimeter of rectangle: $P = 2(l + w)$
$P = 2(11 + 12)$

Answer:

46 inches