Geometry Chapter 11 Areas of Circles and Polygons HOMEWORK Name: Period:

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1 Geometry Capter 11 Areas of Circles and Polygons HOMEWORK Name: Period: 1

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5 11-1 NAME DATE PERIOD Practice Area of Parallelograms Find te perimeter and area of eac parallelogram. Round to te nearest tent if necessary m 8 cm m 10 cm 10 in. 45 Find te area of eac figure COORDINATE GEOMETRY Given te coordinates of te vertices of a quadrilateral, determine weter it is a square, a rectangle, or a parallelogram. Ten find te area of te quadrilateral. 6. C( 4, 1), D( 4, ), F(1, ), G(1, 1) 7. W(, ), X(1, ), Y(, ), Z( 1, ) 8. M(0, 4), N(4, 6), O(6, ), P(, 0) 9. P( 5, ), Q(4, ), R(5, 5), S( 4, 5) FRAMING For Exercises 10 1, use te following information. A rectangular poster measures 4 inces by 6 inces. A frame sop fitted te poster wit a alf-inc mat border. 10. Find te area of te poster. 11. Find te area of te mat border. 1. Suppose te wall is marked were te poster will ang. Te marked area includes an additional 1-inc space around te poster and frame. Find te total wall area tat as been marked for te poster. Glencoe/McGraw-Hill Glencoe Geometry 5

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7 11- NAME DATE PERIOD Practice Areas of Triangles, Trapezoids, and Rombi Find te area of eac figure. Round to te nearest tent if necessary m 3. m.6 m 3.5 cm 6 cm 3 cm 4 m 10 cm ft ft 6 ft Find te area of eac quadrilateral given te coordinates of te vertices. 4. trapezoid ABCD 5. rombus LMNO A( 7, 1), B( 4, 4), C( 4, 6), L(6, 8), M(14, 4), N(6, 0), D( 7, 3) O(, 4) Find te missing measure for eac figure. 6. Trapezoid WXYZ as an area of 7. Triangle PRS as an area of square meters. Find WX. 68 square yards. If te eigt of PRS is 8 yards, find te base. W.5 m X R Z 3.5 m Y P S DESIGN For Exercises 8 and 9, use te following information. Mr. Hagarty used 16 congruent rombi-saped tiles to design te midsection of te backsplas area above a kitcen sink. Te lengt of te design is 7 inces and te total area is 108 square inces. 8. Find te area of one rombus. 9. Find te lengt of eac diagonal. Glencoe/McGraw-Hill Glencoe Geometry 7

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9 11-3 NAME DATE PERIOD Practice Areas of Regular Polygons and Circles Find te area of eac regular polygon. Round to te nearest tent. 1. a nonagon wit a perimeter of 117 millimeters. an octagon wit a perimeter of 96 yards Find te area of eac circle. Round to te nearest tent. 3. a circle wit a diameter of 6 feet 4. a circle wit a circumference of 88 kilometers Find te area of eac saded region. Assume tat all polygons are regular. Round to te nearest tent cm 4.4 in ft 9 m DISPLAYS For Exercises 9 and 10, use te following information. A display case in a jewelry store as a base in te sape of a regular octagon. Te lengt of eac side of te base is 10 inces. Te owners of te store plan to cover te base in black velvet. 9. Find te area of te base of te display case. 10. Find te number of square yards of fabric needed to cover te base. Glencoe/McGraw-Hill Glencoe Geometry 9

11-4 NAME DATE PERIOD Practice Areas of Irregular Figures Find te area of eac figure.

D(, 5) E(4, 4) B( 1, 3) C(1, 4) P(, 3) y Q(, 6) R(4, 3) A( 1, 0) O F(4, 0) x T(, 1) O S(, 0) x

One of te displays at a botanical garden is a koi pond wit a walkway around it.

10 11-4 NAME DATE PERIOD Practice Areas of Irregular Figures Find te area of eac figure. Round to te nearest tent if necessary y 6. D(, 5) E(4, 4) B( 1, 3) C(1, 4) P(, 3) y Q(, 6) R(4, 3) A( 1, 0) O F(4, 0) x T(, 1) O S(, 0) x LANDSCAPING For Exercises 7 and 8, use te following information. One of te displays at a botanical garden is a koi pond wit a walkway around it. Te figure sows te dimensions of te pond and te walkway. 13 ft 35 ft 7 ft 15 ft 7. Find te area of te pond to te nearest tent. 8. Find te area of te walkway to te nearest tent. Glencoe/McGraw-Hill Glencoe Geometry 10

11 DO NOT REMOVE FROM BOOKLET Formulas tat you may need to work questions on tis test are found below. You may refer to tis page at any time during te matematics test. You may use calculator or te number Grade 11 w l P l w A lw l w SA lw l w V lw c a b Permutations : Pytagorean Teorem : a b c P(n, r) n! (n r)! b A b r SA 4 r V 4 3 r 3 Combinations : C(n, r) n! r!(n r)! Distance Formula : d (x x 1 ) (y y 1 ) a A 1 (a b) r SA r r V r Midpoint : x 1 x, y 1 y b Slope : m y y 1 x x 1 r c d P b c d A 1 b SA r r r V 1 3 r Point-Slope Formula : (y y 1 ) m(x x 1 ) b Slope-Intercept Formula : y mx b Standard Equation of a Line : r C r A r base SA (Area of te base) 1 (number of base sides)(b) b Ax By C V 1 3 (Area of te base) Copyrigt 005 by te Pennsylvania Department of Education. Te materials contained in tis publication may be duplicated by Pennsylvania educators for local classroom Page use. 4 Tis permission does not extend to te 11 duplication of materials for commercial use.

NAME DATE PERIOD. Find the perimeter and area of each parallelogram. Round to the nearest tenth if necessary. 4 ft. 22 in. 45.

NAME DATE PERIOD. Find the perimeter and area of each parallelogram. Round to the nearest tenth if necessary. 4 ft. 22 in. 45. - Skills Practice Area of Parallelograms Find the perimeter and area of each parallelogram Round to the nearest tenth if necessary 0 cm 0 0 cm 4 ft 55 ft 0 4 yd 4 7 yd 45 in 45 in Lesson - 5 4 m 5 km 9