Download pp Unit Conversions

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
b6
16mm
A  1 h(b1  b2 )  1 (6)(8  16)  72mm 2
2
2
9
144
10,000