Question

The rectangular floor of a classroom is 26 feet in length and 28 feet in width. A scale drawing of the floor his a length of 1_(3) inches. What is the perimeter, in inches, of the floor in the scale drawing?

Answer 1

The perimeter of the floor in the scale drawing is 324 inches.

Step-by-step explanation:

To find the perimeter of the floor in the scale drawing, we need to convert the dimensions of the actual floor to inches using the given scale factor. The scale factor is 1_(3) inches, which means that 1 inch in the scale drawing represents 3 feet in the actual floor.

Since the length of the actual floor is 26 feet and the width is 28 feet, we can calculate the perimeter in inches as follows:

Length in inches: 26 feet * 3 inches/foot = 78 inches

Width in inches: 28 feet * 3 inches/foot = 84 inches

Perimeter in inches: 2 * (Length in inches + Width in inches) = 2 * (78 inches + 84 inches) = 2 * 162 inches = 324 inches