Chapter 7: Mathematics, Measurements and Metric/Imperial Conversions

Working With Percentages

Every % consists of:

1. Whole
2. Rate
3. 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.