Polygon Side Lengths NAME DATE TIME

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1 Home Link 5- Polygon Side Length Find any miing coordinate. Plot and label the point on the coordinate grid. Draw the polygon by connecting the point. y a. Rectangle ABCD A: (, ) B: (-, ) The length of BC i repreented by + -4 =. C: (, ) D: (, ) b. Right triangle XYZ X: (-5, ) Z: (-3, 6) The length of ZY i repreented by 6 - =. The length of XY i repreented by =. Y: (, ) Ue rectangle ABCD and triangle XYZ to fill in the following table. The firt row ha been done a an example x Practice Horizontal Side Segment Endpoint Length Expreion Length AB (, ) and (-, ) - + Vertical Side Segment Endpoint Length Expreion Length Divide. Write any remainder uing R , , , ,30 06

2 Finding the Area of Parallelogram Home Link 5- Find the area of each parallelogram. Show your work. 9' 4' 4 ft 54 6 ft 3 65 cm 4 7 cm 3.5 cm 8 cm Try Thi The area of each parallelogram i given. Find the length of each bae. 5 6 in.? 6 quare inche Bae: Practice Evaluate. 59 m? 5,05 quare meter Bae: 7 0% of % of % of 0 09

3 Triangle Area Home Link 5-3 Find the area of each triangle. Remember: A = _ bh ' 8' 5 cm cm Number model: Area = Number model : Area = 3 4 mm 6 mm cm 7.5 cm 3.4 cm 3 mm 7.8 cm Number model: Area = 5 Find the length of the bae. in.? Area = 8 in. Bae = Practice Compute. Number model: Area = Try Thi 6 Draw a height for the triangle. Find the length of the height. m Area = 48 m Height = 0 m 0 m 7-7 = 8 4 = 9 = -3 4

4 Area of Complex Shape Home Link 5-4 In Problem 4, decompoe the hape into polygon for which area formula can be ued. Label the area. Find the total area for each hape. Ue appropriate unit cm 5 cm 5 cm 4 cm 3 cm 8 cm cm 3 cm 5 cm 5 cm 3 cm Try Thi 0 cm 7 cm 5 cm 4 0 cm 0 cm 8 cm 4 cm Practice Calculate = 6 = = 8 = cm 6

5 Real-World Net Home Link 5-5 Circle the olid that can be made from each net. a. b. c a. b. c. 3 Ue the net and it correponding geometric olid in Problem. a. Which polygon make up the face of your olid? How many are there of each kind? b. Which face are parallel? c. Which face are congruent? d. How many edge are there? How many vertice? Practice Multiply = 5.04 = 6 =

6 Surface Area Uing Net Home Link 5-6 Silly Sock i trying to chooe a type of platic box for their ock. The net for three different box deign are given below Deign Deign Deign 3 9 cm 9 cm 8.7 cm 8 cm 9 cm 4 cm 0 cm 3 cm 9 cm 9 cm Without calculating, predict which deign will require the leat amount of platic to produce. 8 cm Find the urface area for each platic-box deign. Write a number entence to how how you found the urface area. Remember to ue the correct order of operation. Box Deign Surface Area Number Sentence Deign Deign Deign 3 3 Explain how to find the urface area for any rectangular or triangular prim. Practice Divide. Find your anwer to the nearet hundredth , , ,64

7 Surface Area Home Link 5-7 Sam i painting the outide of a doghoue dark green (except for the bottom, which i on the ground). The doghoue meaure 3 feet wide by 4.5 feet long. It i 4 feet high. The roof i flat, o the doghoue look like a rectangular prim. The entrance to the dog houe i.5 feet wide by feet high. a. Label the doghoue diagram with the meaurement. b. On the grid below, draw a net for a prim that could repreent Sam doghoue. Scale: = quare foot c. How many quare feet i he painting? Practice Evaluate. d. One pint of paint cover about 44 ft. How many pint doe he need? ( _ 3 ) 3

8 Home Link 5-8 Arguing about Area Jayon wa comparing the area of the polygon at the right. K L 57 Here i Jayon reaoning: I think that Polygon K and L have the ame area. I lined up the ide of each polygon and they were equal, o I labeled the ide with the ame variable. So the area of Polygon K i equal to the area of Polygon L. K Area of Polygon K: Area of Polygon L: = = L Explain the flaw in Jayon reaoning. Trace Polygon K above, and cut out your tracing. Ue it to help you olve Problem 3. Draw two different polygon that have the ame area a Polygon K. 3 Chooe one of your polygon from Problem. Decribe how you ued Polygon K to draw a polygon that ha the ame area. For Leon 5-9, bring a rectangular prim, uch a an empty tiue box, to cla. Practice Find the whole. 4 0% i 7, o 00% i. 5 5% i 90, o 00% i. 8

9 Volume of Rectangular Prim Home Link 5-9 Find the volume for each prim. 3 in in. 3 in. Volume 5 ft 3 ft 4 ft Volume 3 The Blueberry Blat cereal box i a rectangular prim that i inche 8 inche 4 inche. a. Label the diagram with the dimenion. b. What i it volume? 4 Greta gift hop ha three ize of gift boxe. They are all haped like rectangular prim. The dimenion are hown below. Small: 0 cm 0 cm 0 cm Large: 40 cm 30 cm 5 cm Medium: The area of the bae i,000 cm and the height i 8 cm. Find the volume of each gift box. Small: Medium: Large: Practice Evaluate. 5 _ 3 + _ 5 6 = 6 4 _ _ 7 8 = 7 4_ 5-3 _ 4 = _ = 3

10 Calculating Luggage Volume Home Link 5-0 You may want to conider how much volume your luggage hold when you travel. If you know how to calculate the area of a rectangular prim, you can alo find the approximate volume of a uitcae. Below are the meaurement of ome common uitcae ize. 60, 6 a. Find the volume of each uitcae. b. Find the approximate volume of the interior. Round to the nearet 0.0 in. 3. Suitcae Exterior: 7 " 5" 8" a. Volume: Interior: 6" 3.75" 6.5" b. Volume: Suitcae 3 Exterior: 4" 6" 9.75" Suitcae Exterior: " 4" 7" a. Volume: Interior: 9.5" 3" 5.75" b. Volume: Suitcae 4 Exterior: 8" 9" 9" Copyr ight McGraw-Hill Education. Permiion i granted to reproduce for claroom ue. Univerity of Chicago a. Volume: Interior:.5" 4.75" 8.5" b. Volume: a. Volume: Interior: 6" 7.5" 7.5" b. Volume: Decribe how you can etimate the interior volume of a uitcae if you know the exterior meaurement. Practice Evaluate. 3 _ 3 _ 6 = 4 5_ _ 7 = 5 = _ 3 _ 6 8 _ 3 = 35

11 Volume of Letter Home Link 5- The Santiago Balloon Emporium ell cutom balloon haped like letter of the alphabet. Claria order balloon that pell DOLLIE for her friend birthday. She want the balloon to float, o he plan to fill them with helium. To etimate how much it will cot, Claria need to calculate the approximate volume of helium he will need to fill the balloon. The volume of each balloon can be etimated baed on rectangular prim. 60 Meaure the dimenion in millimeter for each rectangular part of the letter. The cale i mm = inch. Each letter ha a depth of 5 inche. Etimate the volume of each letter. D: O: L: I: E: What i the approximate total volume of helium (in cubic inche) needed to fill the letter? 3 a. Helium come in tank that hold either 8.9 ft 3, which cot $9.99 each, or 4.9 ft 3, which cot $8.99 each. What i the leat amount Claria can pend to fill her letter with helium? Hint: There are,78 in. 3 in ft 3. b. Explain how you found your anwer to Part a. Practice Divide

12 Home Link 5- Could a Giant Breathe? Think about how area and volume change in relation to change in linear meaurement How many centimeter are in meter? How many quare centimeter are in quare meter? 3 How many cubic centimeter are in cubic meter? One cubic centimeter of water ha a ma of about gram. 4 One cubic meter of water ha a ma of: gram kilogram 5 One kilogram ha a weight equivalent to about. pound. One cubic meter of water weigh about how many pound? Oxygen enter your body through the urface area of your lung. 6 A giant who i 0 time a tall a you would have lung that provide a much oxygen a your lung. 7 If the urface area of the giant lung were 00 time greater than your, and if the giant required oxygen in the ame proportion a a human, how do you know the giant would not have enough oxygen? Explain. Try Thi 8 Your lung fit in a relatively mall pace inide your rib cage. Reearch how your lung increae urface area to be able to upply all the oxygen you need. Practice For Problem 9 0, record the oppoite of the number The oppoite of the oppoite of -3 4

13 Simplifying Expreion Home Link 6-6 Simplify each expreion by combining the like term. a. 4x + x b. 7w - 8w 06 c. 5.4e - 3.3e d. 88h h Simplify. Check that your expreion are equivalent. a. m + 4m b. 90a - 30a c. 4b + 5b + 8 d. 58d d e. 3(4 + 5f) + 79 Practice Inert =, <, or >. f. 0(8 + 5t) t

14 Equivalent Expreion Puzzle Piece Leon x + 6x 3(4 + x) 4x - x x x + 0 (8 + 3x) (8 9)x + x - 8 0x - (9 9) 0 + 9x 30 x + + x 3x x x 6 + 8x x - 4 (x + 7) 7 + x x 36 + x 8 + 4x - 4 4(x + ) 6 x 38 x - x 6x ( 5) 3 x 9(x + ) x x 5x x 60x (7 - ) 0( - x) 8(4x - ) 3x x x - 60x 9 + 3x - x x x x x 4 x x x 5x + 6-3x x - 0x x x x + 8x x (x + 6) 7x 9x - x x x + x + + 4x x 4 + 7x + x(4 + 3) + 6 3(x + 3) 9 + x x 8x x 70x x 5x x x x x 37-5x + 3 4x - + 4x 64