A scale drawing of a building in the shape of a pentagon has a perimeter of 75 inches. The scale of the actual building to the drawing is 307 feet to 5 inches. If each side of the building measures the same length, how long, in feet, is one side of the actual building?

Answer: The length of one side of the actual building is 921 feet

Step-by-step explanation:

If the scale of the actual building to the drawing is 307 feet to 5 inches, it means that 1 feet on the building would be

5/307 inches

The scale drawing of the building in the shape of a pentagon has a perimeter of 75 inches. A Pentagon has 5 sides. It means that the length of each side of the building on the drawing is

75/5 = 15 inches

Since 1 feet on the building = 5/307 inches on the drawing, then

x feet on the building = 15 inches on the drawing.

x = (15 * 307) / 5 = 921 feet

921 feet

Step-by-step explanation:

If each side of the building measures the same length, and the perimeter is 75 inches, we have that each side in the scale drawing is 75/5 = 15 inches.

Now, to find the actual length of the building side, we can use a rule of three:

307 feet of actual side is 5 inches in the scale, so what's the length of the actual side for a 15 inches side in the scale:

307 feet - > 5 inches

x feet - > 15 inches

307/x = 5/15

5x = 307*15

x = 307*15/5 = 921 feet