1. Architecture From Math to Building Design

2. Scale Scale is a Ratio Scale is a Ratio A ratio compares one thing to another A ratio compares one thing to another A scale compares one measurement to another A scale compares one measurement to another

3. Scale is usually in this format: 1 inch = 10 feet (Engineers scale), or ¼ inch = 1 foot (Architects scale), or

4. Sample Scale Equation if a desktop measures 2 feet in width and the scale is 0.5" = 1’ if a desktop measures 2 feet in width and the scale is 0.5" = 1’ 0.5 inches divided by 1 foot = the scaled down length of the object divided by 2 feet 0.5 inches divided by 1 foot = the scaled down length of the object divided by 2 feet Or, written as an equation of two ratios: Or, written as an equation of two ratios: 0.5 inches= y inches 0.5 inches= y inches 1 foot 2 feet 1 foot 2 feet

5. Cross multiply the two ratios. Cross multiply the two ratios. 1 foot (Y inches) = 0.5 inches (2 feet) 1 foot (Y inches) = 0.5 inches (2 feet) Y inches = 0.5 inches (2 feet) Y inches = 0.5 inches (2 feet) 1 foot Y = 1 inch

6. This calculation works for all scales and allows the inclusion of items onto the drawing. This calculation works for all scales and allows the inclusion of items onto the drawing.