Final answer:
The scale drawing of the classroom floor with an actual size of 30 feet by 35 feet and a scale length of 6 inches has a scale perimeter of 26 inches.
Step-by-step explanation:
The question asks for the perimeter of a classroom floor in a scale drawing, based on the actual dimensions of the floor and the scale for the length. To find the perimeter on the scale drawing, first, we need to determine the scale factor. The actual length of the classroom is 30 feet, and the scale drawing length is 6 inches. Since there are 12 inches in a foot, the actual length in inches is 30 feet × 12 inches/foot = 360 inches. The scale factor is then calculated by dividing the drawing length by the actual length in inches:
Scale factor = Scale drawing length / Actual length in inches
Scale factor = 6 inches / 360 inches
Scale factor = 1 / 60
To find the width on the scale drawing, we apply the same factor to the actual width:
Actual width in inches = 35 feet × 12 inches/foot = 420 inches
Width in the scale drawing = Actual width in inches × Scale factor
Width in the scale drawing = 420 inches × (1 / 60)
Width in the scale drawing = 7 inches
The perimeter of the rectangle in the scale drawing will be twice the sum of the length and width:
Perimeter = 2 × (Length + Width)
Perimeter = 2 × (6 inches + 7 inches)
Perimeter = 2 × 13 inches
Perimeter = 26 inches
Therefore, the perimeter of the floor in the scale drawing is 26 inches.