/
Geometry Review 8.1 - 8.3
PA Anchors: A3; B2; C1
1. Find the missing value given BCDA is a rectangle.
Perimeter = 50 em
A:;. J..,LD
r ~ ~LI-(k,Q
Area = ?
A::.[, I J. ("yn""(\?J l.n'\)
B,--_ _--,C
50 ; at-+;;l(l3)
'50 :; J.~..;- J.,(~
-.1-v
13 em _ ';)/:,
CE}5~
(::i)
;)4::J,L
2. Find the missing value given BCDA is a rectangle.
Perimeter = 70 em Area
= ?
B .--_ _ _ _---,C
Yo -:. :J 1--f' ).CI '1 )
-::to ~ ),.1- +- 3 <to
- 3¥
- ';<ii
1g em
A L . . . - - - - - - - - JD
3. Find the missing value given BCDA is a rectangle.
Perimeter = 54 em
Area
p..: ;J1. ....?vJ
= ?
B ,....-_ _ _ _--,C
5'4 :: ;;l.L~;l U I)
~-I :: ')j. -+ :J;J 11 em ..:....:">?_ _ _""_'_;l._ _
A L...-------''D
-307 -;.- ~.l.
do-­
.)
1..--::.. 1taU>'!
A - hw
A ::: (I(;,UYll(II(,\o')o\)
o
\"1-0 cm'1- ~
4. Find the area of rectangle JKLM.
A' -1..;..V
K
r-_______
77_ft_ _____~L
.A :-;. [II 'Fe:." i Y I Pb')
41 ft
0~'5+pD
~--------------~M
[A] 118
fe
[B] 1578.5 ft2
[C] 236 ft 2
C1f?L 3151 9
5. Find the area of rectangle JKLM.
Kr-__________________________________
86 ft
~L
j'--------------------------------------JM
[C] 108 ft2
[B] 216 ft2
6. Calculate the area of the figure.
12 m
Q
-1
A = ~+Av
R
:(f}
A;­
L
Q)
5m
1-::
10m
p
T '51"'\
S
~Q) w~
(/oX.l) + l6:f6)
A -:.. '":1-0 -+ ?
G;CfS~?0
I
I
A::
i WId(!) -I-
U
1 ......
7. Calculate the area of the figure .
R
Q
...J
L
2mm
I
T
6mm
rv
i
U
L
p
I
I
7mm
w
.4.= A'-1 '· A~
A ~ ~t; WI..., ~ Is-.. /M;",
A ~ ( l)Lv) ,A ::.. u"} ­ y
l~b ·
O ~ 3<6mD
[D] 946 ft 2
8. Calculate the area of the figure.
l,v'
If
A ::. 4~~ ~A~
Q
~
R
U
.A =: f4
1
~ j"",< i<J{r
u)lj
30m
ry-1-
A ::. (t?')U1) - L-;X3)
lS'
9cm
o
:
U
h
P
'L
1~-'1
A -=­
'v
I
qq
ey;-)
W
12cm
9. A rectangular yard is 36 meters by 54 meters. Ifa rectangular swimming pool 9 meters by
5 meters is put in the yard, how much yard area is left?
_A; A'1."- Ar<i
A:- 1~ L{)~.t
~ f ...1f,J re,.t
-
A-:· (?'-ft~) .A~
tel)t ~)
YS'"
\"1 \..\ 4 -
u;:.- l~ C1 NO
q
10. A rectangular yard is 50 meters by 51 meters. If a rectangular swimming pool 8 meters by
5 meters is put in the yard, how much yard area is left?
A -:: ~-,.1p
A - 4tv'1 ' Lpi.:-,. A ':: L~"X':X)) _ (<Y:X s-) A :-
\
~s:sn
-
4-0 G ;: ~5/0 rn9
11. A rectangular yard is 56 meters by 34 meters. If a rectangular swimming pool 7 meters by
4 meters is put in the yard, how much yard area is left?
A::
A~-A"
A ::.. 1'1 w -i - i f''''''f
I,)
-
,A -=- (5f.,)(3Y)
A:: 1q D1.{
~
-
I i"l-L,
-h'J.-\.J. )
Pl.'t
\'h
9
r
12. What is the area of the figure below? (Assume all angles shown are right angles.)
ABE
5 ft 5ft
Ii)
I e[)
18 ft ~16~t j
5ft ®
A: (~)jJ~) 4- (. j¥""X "') -+ (?'l-IY.)
18 ft
A -.: q,c + iLl 4 ...4-Cio
0· ~ ·6).\{
18 ft 5ft
L
A ";. Am .. ~ .....Ae,1
A -- ,.,.
n v.:. -l- ~(..U.­ -t t..,i/J}
F
5 ft
(:
D
5ft K
G
H
[A] 112 ft 2
[B] 414 ft 2
[C] 594 ft 2
13. What is the area of the figure below? (Assume all angles shown are right angles.)
A
B
F
E
~ft
3ft
4ft
iU
C.
®
12ft l'1W'
0
4ft
11ft
K
H
3ft
L
A- -::.. j ,w,
..;,... p,.jI).~ +-
A~
• 12ft
11ft
)1
, .-----=-=~----;
.i-;.w?,
.~(.,
C;XliY)
\..I Y -+ 3~
E'\~f-t~
.J
4ft .I- /~+-~
.),. ::: (3")(1;)')+('1).4)
P
4ft
A =- k
3ft G
[B] 248 ft 2
[C] 74 ft 2
[D] 160 ft2
14. The rectangular floor in Mark's living room is 17 feet by 20 feet. A rectangular rug is placed in
the middle of the room. What is the area of the rug?
A ::-.iMJ
)r -=-{/ 1../'1.. /1)
@
16 4 f:1-1..
=:>
20 ft
[B] 50 ft2
[C] 238 ft 2
[D] 51 ft2
15. The rectangular floor in Consuela's living room is 10 feet by 12 feet. A rectangular rug is placed
in the middle of the room. What is the area of the rug?
A :;. lw
A :- (<t;X-(P)
~yq£)
12 ft
[AJ 28
fe
[BJ 80 ft2
[DJ 20 ft2
16. Find the area of parallelogram MNOP.
A :::- b~
0
p
A =- (I,te)l 4 . ~/)
4.5 em
' - -_ _ _- - L ___
M
1.6 em
~ ~\ a(:mLJ
G
N
17. Find the area of parallelogram MNOP.
0
p
A-6~
A -= (I ,t. LV1'\' ( Lj . ~ Ch'I "')
4.5 em
' - -_ _ _- - L ___
M
1.6 em
0: ~' JU~::)
G
N
18. Find the area of parallelogram MNOP.
P
0
.fo -z- bh
A ::: (t,-, (....., '(4 ,¥, L .,.... ")
4.8 em
L---_ _ _---L ___
M
l.7 em
N
G
E
~.ttoc~~
19. Find the area of the shaded region inside parallelogramJKLM.
K
A~
L
f
:i,b~
A -:: ~(L.I'-l(r'Y\Yt..,~c...n-- )
I
67 em
CE... ~
\4'f 4
(.."",,1-)
20. Find the area of the shaded region inside parallelogramJKLM.
A~\.bh
A ~ ~i- L6 0 Ct'W'Y ~~
K
62 em
J
i'E--
U'n )
~\tS50~"')
\V
M
50em~
21. Find the area of the shaded region inside parallelogram JKLM.
.A ~ ~bh
Pc ? ~ lYy}l~o)
G":! \3 -a () CV'l\~
J
I-E­
44em~
22. Find the missing value of parallelogram ABCD.
Area = 3072 cm2
Perimeter
A ~ bh
= ?
rB_ _ _ _--.C
I
A '---_ _ _---'
-, 30 7:2
G4
::: b lGl.I)
bLj
\ -- 4Y;­
p..:
f' -:.
BUtill-t J-[l.j-g )
\3L\-\- q(o
@;;110 (3)
23. Find the missing value of parallelogram ABCD.
Area = 2646 cm2
Perimeter =
p: 9 (4;;1.)+ ~(t,i.?)
p: 'KY"" 13;;>
k-bh
?
g iD L\ L? :-; b Lc...3J
~
'='3
B.
69
A ' - ­ _ _---' =--_-"-­
24. Find the missing value of parallelogram ABCD.
Area = 2852 cm 2
Perimeter =
17--: d(Y(o 'y~ "J(&'b)
A=-6k
?
;i<j~'}. ;-
bi{q))
p~
cld ....
r~(o
cP~ ~?8
rB_ _ _~C
7i\
Al--------JLJ
25. Find the area of parallelogram QRST.
73 km
A::bh
S
,to.. ::: £::1 ".,-61)
(A7 W ~?f-\ Lvn 1.~
QL--_---'-..l.-_-J T
('@l~34 k;)
[A] 4562.5 km 2
[C] 4891 km 2
[D] 4060 km 2
26 . Find the area of parallelogram QRST.
R
A :;: :. bh S
62m
J
.A -=:. Ll.)-"): S- )
~I~'J-?)
Q
C 0 f3162 m i )
T
[B] 3410 m
2
[C] 3085.5 m 2
[D] 3658 m 2
-
--=-
--=--,
27. Find the area of MFG.
A:: l.b~
i (3.?-'j C:lX-7~cL)
G)ld~d2-")
F
A -;:
~G
32 yd
28. Find the area of MFG.
A :: -ibh
F
~G
-4 -:- ~ L;~ 0-)(5+4-')
c?G" 45 t:'f ~
7-
18 ft
29. Find the area of MFG.
A~~b\~
~';:- it 1'2f'icfi Y~tl )
F
~G
C£~ 3to~d9
18 yd
30. Find the area of MBC.
A~~6h
p. -:.. '~(~'1ttX I (~ cC ')
B
,,
31 yd
ct= ~6q tJd~
15 yd
A~------------~~~,C
~<~----- 38 yd -------7~
31. Find the area of MBC.
B
36Yd
A
~
:
9 yd:
15yd
~~-------------------w----~C
<
46 yd
>
A ~ ~6~
/-\ -;. ·tL4. ~ 'j J Y- q'J ct ~
cE~ c1Q+iV
32. Find the area of MBC.
A ~ ·~bh
A :::" i
B
A
~
-=---
<
>
36 ft
33. Find the area of trapezoid ABCD.
B
26m
14fom
A
_8
38 m
18 m
12;0sm
_::J
A -;.
~D
.A
A
32 m
7>
1.J)(". or3"t''X:It» ~((..,Li"(j ())
CE;3~a'D C
~
C
A::. i-lbit 61-'') h C
34. Find the area of trap ezoid A BCD.
B
0:
7 ft:
,
.A ~(b , 'rb-~) '" _
A -:0- t (f6 -t 3)')l~)
"0-
A ~ ~. (1:,D )«i)
a
D
z :;lOO
(Y\9
35. Find the area of trap ezoid A BCD.
B
11;0
16 m
10m
_::J A
24m
A :o llb,tb,t-)~' A ~ 1(1~ +;}i.1X!O) A :::. ~ l4.o:X: 1b) C
~
U;-;-~b(lVYl~
D
36. Find the area of kite RSru.
s
R
T
u
.A ~ =kJIA L
A ~ i (r,; n -x..z '.. .")
to~,~~ cEO
(3~ +t){1 .Y~ )
l;;ltv
A9
.A~ -i:.At J.. 2 _
37. Find the area of kite RSTU.
A ;. ~(IS j "'i '-I ;
C\~ ?>o ;nJ
s
R
T
f) ')
u
38. Find the area of kite RSTU.
A ::-~.JLJL
s
A -::. i
R~__~~__~=-
A
__~T
~
i f"\
ltD:;}
'/.J'i iI'l\
),,'L.
u
39. Find the area of the rhombus.
[A] 27 ft'
}. -=-
[B] 54 ft'
~
~J I JL A~t
6s~~)(I?
-t-/) C1yH~
L
12 ft
40. Find the area ofthe rhombus.
J _ _ _----._
I
K 12 ft
L
18 ft
[A] 60
fe ~
A ~ btJl..
A -:.- i,1/<t .-f+i..)":l.f-..y) Q~ 1lR>-P·0 1
[C] 30 ft2
[D] 216 ft2
[D] 180 ft'
41 . Find the area of the rhombus.
.A ~
i-dLlz.­
A '" .lz-( at
(£
M
l'qq
H-)( i~ -N ")
r-V
L
21 ft
[A] 78 ft 2
[B] 378 ft2
42. Professor Johanson' s library has a rather odd shape. The north and south walls are
parallelograms that lean quite a bit, as depicted in the diagram below.
I
1.L>.fr I
Is- .j:-.r
The Professor wants to paint one of the walls turquoise. The wall is 7.6 feet high and
15 feet wide. The door, which is 7 feet high and 3 feet wide, has already been painted. If one can
of paint will cover 10 square feet of wall, how many cans of paint will he need?
A "O- bh - .Qw
A -:: (I~ )(' .U) - (3'1.,)
A -=- \IL\-JI
A~
13
+'1' ).. ~
;; q:3
10
I
43. Professor Johanson's library has a rather odd shape. The north and south walls are
parallelograms that lean quite a bit, as depicted in the diagram below. A-=- bh - L v:; A:: [?-l>X 10,'>:)
A
~
- f~ , )
~4 - :l1
A -:. I $'?
'~.r'2..
~) - - L---::t
-::--z:::L'-- - - '
..
d-.o
The Professor wants to paint one of the walls sky blue. The wall is 10.2 feet high and
20 feet wide. The door, which is 7 feet high and 3 feet wide, has already been painted. If one can
of paint will cover 8 square feet of wall, how many cans of paint will he need?
44. Professor Johanson's library has a rather odd shape. The north and south walls are
parallelograms that lean quite a bit, as depicted in the diagram below.
foe-.- bh~~0
A-:
o
.
t~i')(c/.,) - (~Y1)
A -:. ~o3 . 1-:;)1
.A. -:. I 'i ') .. 7 P1'1-­
;.21 1" r­
The Professor wants to paint one of the walls mauve. The wall is 9.7 feet high and 21 feet wide.
The door, which is 7 feet high and 3 feet wide, has already been painted. If one can of paint will
cover 12 square feet of wall, how many cans of paint will he need?
45. A rectangular piece of fabric measures 37 by 44 inches. A triangular scarf with a height of
22 inches and a base of 28 inches is cut from the fabric . How much fabric is left over?
A '~ ~l - ),6h
P.
~ (~Lj)(3/) - ~L~i~d ')
A ~ \)~?--'l-
44.1\ 301;
cr:- \''3~000
46. A rectangular piece of fabric measures 40 by 38 inches. A triangular scarf with a height of
25 inches and a base of 26 inches is cut from the fabric. How much fabric is left over?
A~
iw ·- j~ bh
A =- ( y 6)( ~t)- ~ (J-& )(J.$)
A
115.) 0 - D:;J.5
-=.
(!C-=-
n9
1/ I Cj S i
47. A rectangular piece of fabric measures 40 by 44 inches. A triangular scarf with a height of
22 inches and a base of 29 inches is cut from the fabric. How much fabric is left over?
A-; iu.;"
£
~b h
A "'- (44Xl W')- ~(~X:;}J)
11~.;.· ·
A ':
J..~ . l'
3t.c'\
0::-' ,'-\ ti \ ,=)
'j ()
48. A rectangular picture is 3 inches wide and 6 inches long. If you put a rectangular 3-inch wide
frame around the picture, what is the area of the frame?
Ao. AL, - A:i'"
3"
1
10
,.
-f-
.11
,
3 -1 '­
~
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~ 10 ~()l- ~
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49. A rectangular piCture is 2 inches wide and 3 inches long. If you put a rectangular 3-inch wide
frame around the picture, what is the area of the frame?
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f2 w ,- ft..)
.A ~ e{'j.. "6) -- (3)(.))
.A
:!- , " )
-
~
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50. A rectangular picture is 7 inches wide and 6 inches long, If you put a rectangular 2-inch wide
frame around the picture, what is the area of the frame?
4"
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,"
~
.
,,\
\
A:: /lv,?'- A$I'Y)
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