November 2009
Beginner
368 pages
8h 55m
English
Content preview from Head First 2D Geometry
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you are here 4 153
triangle properties
Fencing costs money
To make sure that only the people who’ve bought a ticket for your
festival can come in, you’re going to need to set up a security fence
around the perimeter. And that’s not cheap! The cost of setting up
the security fence will be different for each potential venue.
Work out what it would cost to put up a security fence around each venue.
(Fencing costs $15 per meter—work by rounding UP to a whole meter.)
$15
Use a calculator
because the numbers
get a bit ugly.
90m
60m
Field A
80m
85m
85m
Field B
42m
33m
33m
60m
60m
Field C
154 Chapter 4
field C is the cheapest
3364 +
Rounded up to the next meter—
can’t buy a bit of a fence panel!
Work out what it would cost to put up a security fence around each venue. (Fencing costs $15
per meter—work by rounding UP to a whole meter.)
90m
60m
Field A
For field A we need to use the Pythagorean
Theorem to find the missing side (the hypotenuse).
H
2
= 60
2
+ 90
2
H
2
= 3600 + 8100
H
2
= 11700
H = 11700
H = 108.16 = 109m
H
Perimeter, P = 60 + 90 + 109
P = 259m
Don’t forget your units.
Field B
80m
85m85m
Field C
42m
33m
33m
60m
60m
Perimeter, P = 80 + 85 + 85
P = 250m
Perimeter, P = 60 + 60 + 33 + 33 + 42
P = 228m
Cost = 259 x 15 = $3885
Cost = 250 x 15 = $3750
Cost = 228 x 15 = $3420
Field A is a
right triangle.
This one is the cheap
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