Module 7 of 9 · Text
Chapter 7: Mathematics, Measurements and Metric/Imperial Conversions
Working With Percentages
Every % consists of:
- Whole
- Rate
- Part
Rule #1 - Part Unknown
Whole = 3000 sq house
Rate = 15% kitchen area
Part: 3000 x 0.15 =450 sq. ft.
Rule #2 - Rate Unknown
Part = 100000 downpayment
Whole = 400000 price
Rate: 100000 / 400000 = 0.25 (25%)
Rule #3 - Whole Unknown
Part = 5 homes
Rate = 25%
Whole: 5 / 0.25 = 20
Percentage Change = (New Amount - Old Amount) / Old Amount
ex. The average price in Vaughan was $224500 a year ago. Now it is $232000
232000 - 224500 = 7500 / 224500 = 0.03340757 x 100 = 3.3%
Area Measurement
- feet/meters (ex. room measurement and lot sizes)
- sq.ft/sq.m (ex. sq. footage of house, condo, and commercial premises)
- acres/hectares (ex. land)
Rectangular
Area = a x b
Right Angle Triangle
One of the angles is 90. Area = 1/2 x (base x height)
Parallelogram
Total Area = Length x Perpendicular height
Trapeziod
Total Area = Sum of Parallel Sides x 1/2 Perpendicular Height
Cube or Box Shape
Volume = Length x Width x Height
1 cubic foot = 12'' x 12'' x 12''
1 cubic yard = 3' x 3' x 3'
To convert cubic feet to yards - divide by 27 abd vice versa.
Measuring a Residential Condo
Unit ownership must be differentiated from common elements.