If a scale drawing of a wall, with a scale of 1:64 ,is 1/4 inches tall , how tall is the actual wall?
1/4 * 64 = ____ in
45
To solve this problem, we'll use the given scale and the height of the scale drawing to find the height of the actual wall.
Step 1: Understanding the scale
The scale "1:64" means that 1 unit on the scale drawing represents 64 units in real life. In this case, we're given that the scale drawing is 1/4 inches tall.
Step 2: Set up a proportion
Let's set up a proportion to relate the measurements of the scale drawing (1/4 inches) to the actual wall height (which we'll call "x").
1 unit on the scale drawing (1/4 inches) is equivalent to 64 units in real life (x inches):
1/4 : x = 1 : 64
Step 3: Solve the proportion
To solve the proportion, we can cross-multiply and then solve for x.
1 * 64 = 1/4 * x
64 = x/4
Step 4: Calculate the height of the actual wall
To find the value of x, we simplify the equation:
64 = x/4
Multiply both sides of the equation by 4 to isolate x:
64 * 4 = x
256 = x
Therefore, the height of the actual wall is 256 inches.