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Geometry Unit Conversions Before finding the area (and perimeter) of a figure, you must be certain that the units of measure agree for all the lengths used in finding the area. You must know the following unit conversions in the Standard System of measurement. 5280 feet 1 mile = ________ 1 yard = ________ ft. 3 1 yd. = __________ inches 36 1 foot = __________ in. 12 To change a larger unit into a smaller unit, you must ________. multiply To change a smaller unit into a larger unit, you must ______. divide Examples: Complete each statement. a) 2.25 yds = __________ 81 in b) 3 ft 8 in = __________ 44 in 5 or .416 c) 1 ft 3 in = __________ yds 12 You will also be expected to convert between units in the Metric System of measurement. Recall that the metric system is based on powers of 10, so that converting between units simply involves moving the decimal point left or right. The basic unit for measuring length in the metric system is the ______and different units are meter obtained by adding one of the following prefixes: To help remember the order of these prefixes, use the phrase King Henry Died By Drinking Chocolate Milk a S e Examples: Complete each statement. a) 3.5 m = __________ cm 350 b) 317 mm = ________ dcm 3.17 c) 3.5 km = __________ hm 35 Examples: Find the area of each figure. 1. A rectangle with dimensions 4.8 cm 48mm and 25 mm. A 48 25 1200mm 2 Examples: Find the area of each figure. 9 3 60 76in A 76 9 3 684 3in 2 Examples: Find the area of each figure. 5.222 x sin 40 5.222 x 3.357 y cos 40 5.222 y 4.000 2 1 A (4)(3.357) 6.714 yds 2 Examples: Find the area of each figure. 4. A kite with diagonals 1.2 m and 74 cm. 120cm 2 1 1 A d1d 2 (120)(74) 4440cm 2 2 Examples: Find the area of each figure. 82 b 2 10 2 64 b 2 100 8 8 b 2 36 b6 16mm A 1 h(b1 b2 ) 1 (6)(8 16) 72mm 2 2 2 9 144 10,000