Michelle is making a scale drawing of a building. The scale for the drawing is
1 inch = 6 feet. The height of the building in the drawing is 7 1/4 inches. Determine the height of the actual building.
what is 6 times 7 1/4 ?
123 feet
Michelle is making a scale drawing of a building. The scale for the drawing is
1 inch = 6 feet. The height of the building in the drawing is
17 1
4
inches. Determine the height of the actual building.
123 feet
117.25 feet
103.50 feet
102 feet
23.25 feet
To determine the height of the actual building, we can use the given scale of 1 inch = 6 feet.
First, we need to convert the height of the building in the drawing to feet. The height in the drawing is given as 7 1/4 inches, which can also be written as 7.25 inches.
To convert inches to feet, we divide the number of inches by 12. So, 7.25 inches is equal to 7.25 / 12 = 0.60417 feet.
Now, we can use the scale to find the height of the actual building. Since 1 inch in the drawing represents 6 feet in reality, we can set up a proportion:
1 inch / 6 feet = 7.25 inches / x feet
To solve for x (the height of the actual building), we can cross-multiply:
1 inch * x feet = 6 feet * 7.25 inches
x feet = 6 feet * 7.25 inches / 1 inch
x feet = 43.5 feet
Therefore, the height of the actual building is 43.5 feet.