A scale model of a building is 8 in. By 12 in . If the scale is 1 in. = 15 ft, what are the dimensions of a actual building ?
8 * 15 = ______ feet
12 * 15 = ______ feet
14.293
To find the dimensions of the actual building, we can set up a proportion using the scale of the model.
Let's let the dimensions of the actual building be x feet (length) and y feet (width).
Using the given scale, we know that 1 inch on the model represents 15 feet in reality. Therefore, the length of the model, 8 inches, represents 8 * 15 = 120 feet in reality.
Similarly, the width of the model, 12 inches, represents 12 * 15 = 180 feet in reality.
Setting up our proportion:
8 inches / 120 feet = 12 inches / 180 feet
Now, we can cross-multiply and solve for x and y:
8 * 180 = 120 * 12
1440 = 1440
This equation is true, which means the proportion is balanced. Therefore, the dimensions of the actual building are x = 120 feet (length) and y = 180 feet (width).