A scale drawing of a house is drawn with a scale of 1 in. : 16 ft. Find the actual length of a hallway that is 5/8 in. On the scale drawing. Show your work
To find the actual length of the hallway using the given scale, you need to set up a proportion and solve for the unknown value.
According to the given scale, 1 inch on the drawing represents 16 feet in reality. Let's assign variables as follows:
Let x represent the actual length of the hallway in feet.
Let 5/8 inch represent the length of the hallway on the scale drawing.
Now, set up the proportion:
(5/8) / 1 = x / 16
To solve for x, cross-multiply and then divide:
5/8 * 16 = x
The calculation becomes:
(5 * 16) / 8 = x
80 / 8 = x
x = 10
Therefore, the actual length of the hallway is 10 feet.
Cross multiply and solve for x.
1/16 = (5/8)/x
x = (5/8) * 16
x = 80/8
x = 10 feet