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Unformatted text preview: 24. The new side lengths are 3 and 1 units. The new
perimeter is 3 1 1 3 1 1 3 1 1
3 1 1 or 20 units. The perimeter is divided by 2.
25. The length of each side is multiplied by 10, so 10
can be factored out of the sum of the sides. Thus
the new perimeter is multiplied by 10 so the
perimeter is 12.5(10) 125 m.
26. d ¬ (x2 x1)2 (y2 y1)2
AB ¬ [3 ( 1)]2 (4 1)2
¬ 42 32
¬ 25 5
BC ¬ (6 3)2 (0 4)2
¬ 32 ( 4)2
¬ 25 5
CD ¬ (2 6)2 ( 3 0)2
¬ ( 4)2 ( 3)2
¬ 25 5
AD ¬ [2 ( 1)]2 ( 3 1)2
¬ 32 ( 4)2
¬ 25 5
The perimeter is AB BC CD AD 5 5
5 5 or 20 units.
27. d ¬ (x2 x1)2 (y2 y1)2
PQ ¬ [3 ( 2)]2 (3 3)2
¬ 52 02
¬ 25 5
QR ¬ (7 3)2 (0 3)2
¬ 42 ( 3)2
¬ 25 5
RS ¬ (3 7)2 ( 3 0)2
¬ ( 4)2 ( 3)2
¬ 25 5
ST ¬ ( 2 3)2 [ 3 ( 3)]2
¬ ( 5)2 02
¬ 25 5
TU ¬ [ 6 ( 2)]2 [0 ( 3)]2
¬ ( 4)2 32
¬ 25 5
PU ¬ [ 6 ( 2)]2 (0 3)2
¬ ( 4)2 ( 3)2
¬ 25 5
The perimeter is PQ QR RS ST TU PU
or 5 5 5 5 5 5 30 units.
28. d ¬ (x2 x1)2 (y2 y1)2
VW ¬ ( 2 3)2 (12 0)2
¬ ( 5)2 122
¬ 169 13
WX ¬ [ 10 ( 2)]2 ( 3 12)2
¬ ( 8)2 ( 15)2
¬ 289 17
XY ¬ [ 8 ( 10)]2 [ 12 ( 3)]2
¬ 22 ( 9)2
¬ 85
YZ ¬ [ 2 ( 8)]2 [ 12 ( 12)]2
¬ 62 02
¬ 36 6 Chapter 1 ¬ ( 2 3)2 ( 12 0)2
¬ ( 5)2 ( 12)2
¬ 169 13
The perimeter is VW WX XY YZ VZ or
13 17
85 6 13 58.2 units.
There are 6 sides and all sides are congruent.
All sides are 90 or 15 cm.
6
There are 4 sides and all sides are congruent.
All sides are 14 or 3.5 mi.
4
P ¬x 1 x 7 3x 5
31 ¬5x 1
30 ¬5x
6 ¬x
x 1 ¬6 1 5
x 7 ¬6 7 13
3x 5 ¬3(6) 5 13
The sides are 13 units, 13 units, and 5 units.
P ¬6x 3 8x 3 6x 4
84 ¬20x 4
80 ¬20x
4 ¬x
6x 3 6(4) 3 21
8x 3 8(4) 3 35
6x 4 6(4) 4 28
The sides are 21 m, 35 m, and 28 m.
P ¬2
2w
42 ¬2(3n 2) 2(n 1)
42 ¬6n 4 2n 2
42 ¬8n 2
40 ¬8n
5 ¬n
3n 2 ¬3(5) 2 17
n 1 ¬5 1 4
The sides are 4 in., 4 in., 17 in., and 17 in.
P ¬2x 1 2x x 2x
41 ¬7x 1
42 ¬7x
6 ¬x
2x 1 ¬2(6) 1 11
2x ¬2(6) 12
The sides are 6 yd, 11 yd, 12 yd, and 12 yd.
52 units; count the units in the figure.
VZ 29.
30.
31. 32. 33. 34. 35.
36. 5 squares
8 squares 9 squares 36a. It is a square with side length of 3 units.
36b. In Part a, the rectangle with the greatest
number of squares was a square with side of 3
units. So if a rectangle has perimeter of 36 units,
a square would have the largest area. The side of
this square would be 36 9 units.
4 18 ...
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This note was uploaded on 12/19/2011 for the course MAC 1140 taught by Professor Dr.zhan during the Fall '10 term at UNF.
 Fall '10
 Dr.Zhan
 Calculus, PreCalculus

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