Geometry Chapter 8: Area Review PA Anchors: A3; B2; Cl. .1.t+~4 -~-J. ""T... Sl. J":..2.l.. -+-Jw. A =- A(~)'" ~ A :..!w-l-~

Size: px

Start display at page:

Download "Geometry Chapter 8: Area Review PA Anchors: A3; B2; Cl. .1.t+~4 -~-J. ""T... Sl. J":..2.l.. -+-Jw. A =- A(~)'" ~ A :..!w-l-~"

Marjorie Caldwell
6 years ago
Views:

1 Geometry Chapter 8: Area Review PA Anchors: A3; B2; Cl 1. Find the missing value given BCDA is a rectangle. Perimeter = 62 cm Area =? V:. d.t-\" ~vj B ,c 17 em ~ J. ':. ~). -:: - '0..., rj ~ -;:,<+..1 i+ ';).LI1).1.t+~4 -~-J -:.. G)..L ""T... Sl A =-!uj A '",0 (\Y.CW\L lll~ ") 0 ' ~3~ U1l) 2. Find the missing value given BCDA is a rectangle. Perimeter = 56 cm Area =? B A It;~ C V 13 em J":..2.l.. -+-Jw p..,:- L..u ~ ' -:. ;,l.q.. + :J.(3 ) A -- ( t? CW>k I 3 ~ ) '5(,.~ J. J..-4- :U.,11 6 -:. Iqs- ~VYI"9 _).{, "U.J... ::. ~ ;J ~ IS"':.....J 3. Calculate the area ofthe figure. 6cm Q..,-_4='-='-""-,--7_ c -r m,>""",,,,<..,,"-,-,r p ~ :l.:q L,'3"", \, 3clrJ'\ r ' T ~... u S 3 cm A =- A(~)'" ~ A :..!w-l-~ A -:-... '4 t l?'\jl. L> Gl">'\ ) -+ l? L---. )[ ~ (A"n ) }. :: 'J,.U: ~ 4- q ~L (??0

2 4. Calculate the area of the figure. Q 12 km ld To) u P 14 km W 4km A; ACD~ A~ A -;: L.u - 1.t.J ).. '# (\Y ~l.\?.\:-w-) - (Yt.n..ll4,~..,...') A-; CF'7- Hib L-n-t. - Ito -mt,... \ '?J... kl?'\l..) 5. Calculate the area of the figure. Q 15 m.-j \9 R L I T~ 'S i U i, V 5m l\ -:. &-l..u.j _A ~ l'(;~l(j \' f'y\) -U37,...,...1 ~ rn ) A ::: =>.\}O m2.._ 2.Y ry)l L h I ~1S-~0 p 16m w 6. Calculate the area of the figure. 4mm Q c, 7 mm '<h", R, A :: J-\p T~ ~ L p d) -l '7t'>'\..M I \ ~ I ji.....'x I \ I T ~~"1 02"."" u S w -+ j...uj 2mm A ::.. A:: l,?wi.-n'.( 4 m...) 4- ~nw~-~m.yv\) ~ ~- :::. ;).I) )~ M '7" 4...~ (074"'0

3 7. Find the area of parallelogram.mnop. P 0 '-- --'-.r:: M 1.6 em N 4.5 em A/b~1 A =-- (l. ~ C VY'I )( 'i.s-~ ) o,.~ Cftl') 8. Find the area of parallelogram.a1nop. P 0.r:: ~ -L M 1.7 em N 4.8 em A~bh.A -:=:-( \,1 (. 'Y\ X4 f6 (~') 0~ I("u0 9. Find the area of parallelogram QRST. s A ~- bh A -;. (LP<t rr.y: 5'4 m) cj!3,ln-; Find the area of parallelogram QRST. R 57_i_ll_---;;s Q~_----L..-'--_----/ A ::.- b~ A -==-( 5 -=t I I') Y'4 "4 ~ Y") ) Cf-:. ::/, l. -=1'1,»

4 11. Find the area of MBC. A-;. hbh B A ~ ~ (3:1 ~~:iq ~J.) ~~ \44 ~d~) ~9 yd: A -E 32 yd > C 12. Find the area of MBC. B ~ A -,. ~(;top,,-x4f'..) 16 ft : 6 ft A 4ft! c CE~ 'fd R.~ < 20 ft > 13. Find the area oftrapezoid ABCD. A ~ klb.+b.l-) h C A ~ ~ (;24 +??-"X.. I \) ~ p.. -;. :r 5~ ' II,A ~ 30).-; ml- D 14. Find the area oftrapezoidabcd. B 16m C.A :: ~(b.-rb-,,",)n 12 m : 11 m ' ~D A ~ J,. (\<O+"3 0~11 ) ( :-J A -:;; ~ ('..H..., ;)li \) A 30 m 0 -: :253 ()')1...) 15. Find the area of kite RSTU. s R~ ==~ ~=- ~T u.a ~ kd.cl2 A -;; ~ (:l;)"t'\)(~; )") <2 ~ 4*,0

5 16. Find the area of kite RSTU. s R T.A ~ 5:. dl t~2. ~ -;.. ~ (.t3 I,<'J...<t. ',~) 0~q~;n9 u 17. A rectangular piece of fabric measures 37 by 36 inches. A triangular scarf with a height of 31 inches and a base of 28 inches is cut from the fabric. How much fabric is left over?.,a -- k -A~.A ~ Lw - ~bh A -.. (,1,..,'[3(q;,.,) - ~ (~.\~"t3 I.,. ') A-: lj?>3~ 'I(\~- ~7"~ ii\0 '+3/f-;..,'"' 18. A rectangular piece of fabric measures 45 by 37 inches. A triangular scarf with a height of 29 inches and a base of 32 inches is cut from the fabric. How much fabric is left over? A:: Aa-At'I. A -; Find the area of the regular polygon. 6 in..t<..t.) - -5bh A... (45; ;/,\'/..37 ;0) <~ (3l "" j:.?-t:t ",") A ~ II (,,~~- \ )'l'l-- 4(...~ In1 G I,OLO'9 A > ~at:>n /A -;- :i-( 5~ I r,'f L, i,,:'i. k ") ;">-~ ( "Q3. (.,

6 20. Find the area of the regular polygon.. S.A) ~a.s.v) 8 in. T A > ~(SIS- ',f))l~,~'is') ~~ lt~ \ n~ 21. If a regular octagon with 2-centimeter sides has an approximate area of 19 centimeters squared, what is the approximate length of the apothem, to the nearest hundredth? A -;...1. cts /""\ lq ~ ~ o.(.;).~) )q ;; YeL <j <2 a. ~ 1. 3~W0 22. If a regular pentagon with 13-centimeter sides has an approximate area of 291 centimeters squared, what is the approximate length of the apothem, to the nearest hundredth? A :: ~tls n.;t."l I ~ (i3"15") '~t:j I ;; '3;) S 4 3;.. s 5;;, S' tl. ~ ~.r1s 3 ~. lj v ISLI 0~q~~ 23. Find the area of a regular pentagon with an apothem 5.5 meters long and a side 8 meters long. A~ ~CLSV\.b..";- ~ (5,S Y>'\""( «"'"y 5 J Q ::. "() 'f')'\'-)

7 24. Find the area of a regular heptagon with an apothem 10.4 centimeters long and a side 10 centimeters long. A -:: ;;J-<.5 Y) ';j", ::- -:z ()O,4 LV""" Ie;) Ln'\y',) E3~~ <Yh0 25. In the figure, each circle has a radius of 7 inches. What is the area of the portion outside the circles but inside the square? Express your answer in terms of Jr.,A-= A-o- qaq A: LtD - q 1rr;J.. A";- (4').Y4;,.) - q 'Tf(')'1-..A:: '/"1& 'i - 19n-)[l.Jq) 0 -=: (1 /1-.,4-4 -1'1t) ;' IJ~ <E< in. ---->~ 26. In the figure, each circle has a radius of 5 inches. What is the area of the portion outside the circles but inside the square? Express your answer in terms of Jr. < 20 in. -->~ A-=An-4Ac:o A -=- ~(.} - '-J. %-r 1 A :.. C,.d(6)l.J.)) - Y'IT l 5)? A ~ ' (4rry'J-0 (? ::: elf 60 - )1)0 ft ) 'il)1)

8 27. Find the area of a circle with radius 9 centimeters. Use Jr = (Round to the nearest two decimal places.) A ~.1t-'{ "2-.A':.. <t I 13. t 4.! A "0.11 ('-'1)'1-1/ II 1... A ItJ tl6." 3...,.. C/'YI.A -;. ~ \ "Ii' 28. Find the area of a circle with radius 13 centimeters. Use Jr = (Round to the nearest two decimal places.) ).., -rry'l A~ I ~q A -;. Ti ()'~)l.. A r;...,? 30. L:> 14 CIvI'L, A ::. '~'1,1'i7-' 29. A circle has a circumference of 4Jrcentimeters. What is the area of the circle? c:. -=,;t,tr("' Lt-1I ::: ~ ~ ~1\ A ":.-'it y_"l.... ')... A ~,- '1I.:;:.\~t.;):;;.."""'- 30. A circle has a circumference of30jrcentimeters. What is the area of the circle? C. -;. d 11Y A ~.'frj'1. A -;. "itli~').. f2!0lsli ~0 31. A circle has an area of 64Jrcentimeters squared. What is the diameter of the circle?.a~" '~ l.,4'tt ";" 11 '1- '''1l'' 1'r L 1..\ =--.,. 1.. ~ cl-::..02 r d... J.W) 32. A circle has an area of 484Jrcentimeters squared. What is the circumference of the circle? po... :.. ''I\Y'' 2 'l '!J4-1T :: 1f( C-:- ~'lt L:l-?-) o 4 Lf-'1I (ft\.:>

9 33. The figure below represents the overhead view of a deck surrounding a hot tub. What is the area of the deck? Use 7r=3.14. (Round to the nearest two decimal places.) A-:: A c:- <1\-R - 'nt' 2... L til (&5)7..-_ 11'(3)'2.. 2m A ':: ~~"T\ - CJrt A -: \1.0 fi'" A ~ \~ l3,)ll) ca ~ 50..;)!.} m~ 34. The figure below represents the overhead view of a deck surrounding a hot tub. What is the area of the deck? Use 7r =3.14. (Round to the nearest two decimal places.) A---.'1\ r(}'"- 1\\ m 35. Find the exact area of the shaded portion of the figure. B 16 in. A A ~ 1\ i ').,) - 11(3,3) A ':. 3 ~, L\q rr - H),'l,'\ it.a ~ ~I, ~ W A t;... :}J. i.r (3. )4') A ~ ~f., <i;;l~ G 0 -X"-t7.'ji.;! A~ A/~ - Ao A ~ A =- ~~ :=".c 0 Q5 ;). 19 in. ~bh- "t1-t~ ~llq )(1 tj1 - If (J5'i.:l. 511)\0

10 36. Find the exact area of the shaded portion of the figure. 37. Find the area of the shaded region. Use 7r = (Round to the nearest two decimal places.) tt. 1 ;;-:--ltr A :: ".J llo A ~ ~ 1\ U;,)'L. 3~c) A -;- ~ l').5"tt") all A-:. ~.A. 'X. ~ ~ 3. 14) l., A ~ J3. D~ 3 ~.o~'vn9 38. Find the area of the shaded region. Use 7r =3.14. (Round to the nearest two decimal places.) A -;.. A ";- P::: ",("7 3I.Po ~;).,.)2-3(.0 " Llo A -:. ~ l3luli) A ~ -;(Pu 1"( - S- Al';:(.. ~~(3,'''') S A t;... ';l;;l. lo 0<6 ~.&\L"'~

11 39. Find the surface area of this rectangular prism. 5A ~!).i.vj+ dwh -+ ;)... h 2em SA ::..1 (10 )lit)) + -:l( I o ) l;<}... :2.( 1(/)0) SA :; abo;- '-to -t- '+0 10 em (sa :C ~ 80 CYr1'-) 40. Find the surface area of this rectangular prism. SA -:: (ii..l-o 4- ;J.v.:. h 4- :l-i.h SA ~...,1.(JIX,S- )-+ J(lS-:;(J,) -+ ;;;L(I I}(I") lem SA -- 33o+- 30 r..;22 llcm 41. Find the surface area of the right pyramid. (Round to the nearest decimal place.) 6ft 5'A ~ AD +- Lf.A~ SA;. flw -+ i.f (~bh') 9A -- ((p'u) 4- '-I ( ~ ~ <.0Y-,) SA -; 3<P ~ "8'4 (fa ~ \J.O [-to'-)

12 42. Find the surface area of the right pyramid. (Round to the nearest decimal place.) SA ~ AD 4- LJ.AI> SA -=.P..,w -f-.., l7t bh') SA ~ (L.(t-L.O 4- L./. C-.k)(4X(..,) SA : J ~ ~ 4 $' (SA' ", A0 IA 4ft 43. Find the surface area ofthe cone. (Round to the nearest decimal place.) 5.A -:0 1Iy-t. -T '1fr~ SA ~ "(;Xll)+ 1\ (;,)2.. S A -: l\q it ;- ~q1r (SA := 10~1i' cw{) SA % \LD~ C~ 14 ) 44. Find the surface area of the cone. (Round to the nearest decimal place.) SA -= 1I'r..t + <"'if r '"l.. "4.. SA -=,,(~)., f) + 11 ( lo) S~ A :: ~4- tt -+ 3<.& IT G'A-:: \~ if (y'a:j SA r,:::. 1)..0 l3, l~) (5~ I';: =r1,. ~ (.0 _ ,;--

13 45. Solve each problem. The figures are not drawn to scale. Area of shaded region = _.A ~ AD - Ao I I; 1 A -::.. ~ -If'{'z.. 20 em J -I _ 1'\(10)'2 I do n) ~Z- 46. Area of shaded region = ~ r em ~ T A=- Ao - Ao A ::. ~--;nrz 50 em A ::::-15u So) -rrc:;s-)2. l 47. Solve each problem. The figures are not drawn to scale. Area of shaded region = _ em A :: 'TI'--R?-- lty''2.. A=-" (~)~ A-z..- IT(S,)7... qc,it -.2S-i\'" (A :: 1\ 1\ Lrn)

14 48. Area of shaded region = 3cm 49. Solve each problem. The figures are not drawn to scale. Area of shaded region = _ tl 1...J... \ L A :: 3uo 1\(" - ~ b Y) ct(} 1 A :: ~6If(,') -., ( "1 Y-, ) 50. Area of shaded region = - tl. ' \ l A ~.3~o-n-r - ;)- () h A ::. ~ TrO'5'J-- ~(It;y'/}- ) A ~ ~ (;)')5'Tr) -

MCA/GRAD Formula Review Packet

MCA/GRAD Formula Review Packet 1 2 3 4 5 6 The MCA-II / BHS 2 Math Plan GRAD Page 1 of 16 Portions Copyright 2005 by Claude Paradis 8 9 10 12 11 13 14 15 16 1 18 19 20 21 The MCA-II / BHS 2 Math Plan GRAD