2. Caryn needs to ship a box that is 14 high, 12 inches deep and 24 inches long. After sealing the box, she tied it with twine as shown:

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1 Perimeter Mtters 1. Mrt wnts t tie rin rund the sides f hexgnl x nd then tie w. ch side f the x is 4 inches lng. She needs 14 inches fr the w. Is ne yrd f rin enugh? xlin. hen stte exctly hw lng the rin must e. 2. Cryn needs t shi x tht is 14 high, 12 inches dee nd 24 inches lng. After seling the x, she tied it with twine s shwn: Hw much twine des she need if the w uses 12 inches f twine? 2. Shwndlyn is remdeling her dughter s rm. She lns t ut rder rund the rm t wist height nd nther rder rund the ceiling. he digrm shws the lyut f the 12 X 8 rm. here will e n gs in the ceiling rder. Hw mny feet f rder des Shwndlyn need? 4 ft. dr 3 ft. windw 3 ft. windw 5 ft. clset drs Written y Nncy R. Jhnsn

2 Perimeter Mtters (nswers) 1. Mrt wnts t tie rin rund the sides f hexgnl x nd then tie w. ch side f the x is 4 inches lng. She needs 14 inches fr the w. Is ne yrd f rin enugh? xlin. hen stte exctly hw lng the rin must e. he x hs six sides, ech 4 inches lng. herefre, Mrt needs 6 X 4 = 24 inches f rin t g rund the x. he w tkes 14 inches. S, Mrt needs = 38 inches. One yrd r 36 inches f rin is nt enugh. Mrt must hve t lest 38 inches. 2. Cryn needs t shi x tht is 14 high, 12 inches dee nd 24 inches lng. After seling the x, she tied it with twine s shwn: Hw much twine des she need if the w uses 12 inches f twine? She needs 140 inches f twine. he twine is used lng the height 4 times, lng the deth 2 times, nd lng the length 2 times. he x tkes 12 inches. he munt f twine needed = 4(14)+ 2(12) + 2(24) + 12 = Shwndlyn is remdeling her dughter s rm. She lns t ut rder rund the rm t wist height nd nther rder rund the ceiling. he digrm shws the lyut f the 12 X 8 rm. here will e n gs in the ceiling rder. Hw mny feet f rder des Shwndlyn need? he rder rund the ceiling tkes 2(12) + 2(8) = = 40 feet. he wist high rder tkes 12 + (8 5) + (12 3 4) + (8 3) = = 25 feet. Shwdlyn needs r 65 feet f the rder. 4 ft. dr 3 ft. windw 3 ft. windw 5 ft. clset drs Written y Nncy R. Jhnsn

3 Criticl thinking Puzzles etters in the Milxes he milxes fr the residents f Sunny Side Artments re munted s the drwing elw shws. he residents lst nmes strt with cnsecutive letters f the lhet: Att Bker Czi Duiski nzi Frncvill Gilert Hnre heir milxes re rrnged s tht the letters identifying the wner f the mil in the x, A, B, C, D,, F, G, nd H, d nt tuch side t side, u nd dwn, r crner t crner. el the milxes. Is it ssile t lel the milxes nther wy r will the stmster e sure t deliver mil t the crrect resident? Written y Nncy R. Jhnsn

4 Criticl thinking Puzzles etters in the Milxes (nswer) he milxes fr the residents f Sunny Side Artments re munted s the drwing elw shws. he residents lst nmes strt with cnsecutive letters f the lhet: Att Bker Czi Duiski nzi Frncvill Gilert Hnre heir milxes re rrnged s tht the letters identifying the wner f the mil in the x, A, B, C, D,, F, G, nd H, d nt tuch side t side, u nd dwn, r crner t crner. el the milxes. Hint: Use eight lettered crds t rrnge insted f writing nd ersing. Be sure t ski ver th efre nd fter ech letter is lced. Students wh hve rctice with lgic uzzles shuld use the first nd lst in the middle xes Is it ssile t lel the milxes nther wy r will the stmster e sure t deliver mil t the crrect resident? One ssile slutin is: C Others exist, s the xes must e leled fr the stmster t deliver mil t the crrect resident. B H F A D G Written y Nncy R. Jhnsn

5 Designing n Inlid le vrus is uilding n ccent tle tht will hve squre t with inlid cermic tiles. He hs 5 tiles in ech f 5 different clrs, red, lue, green, yellw nd rwn. His instructr chllenged him t rrnge the tiles in design s tht ech rw nd clumn cntins exctly ne tile f ech clr nd s tht tw tiles f the sme clr d nt tuch dignlly. he first rw he lid ws red, lue, green, yellw, nd rwn. Shw tw different wys he culd rrnge the rest f the design. Clr them. Is there nther wy? 1 RD BU GRN YOW BROWN 2 RD BU GRN YOW BROWN RD BU GRN YOW BROWN 3 Written y Nncy R. Jhnsn

6 Designing n Inlid le vrus is uilding n ccent tle tht will hve squre t with inlid cermic tiles. He hs 5 tiles in ech f 5 different clrs, red, lue, green, yellw nd rwn. His instructr chllenged him t rrnge the tiles in design s tht ech rw nd clumn cntins exctly ne tile f ech clr nd s tht tw tiles f the sme clr d nt tuch dignlly. he first rw he lid ws red, lue, green, yellw, nd rwn. Shw tw different wys he culd rrnge the rest f the design. Clr them. Is there nther wy? 1 RD BU GRN YOW BROWN 2 RD BU GRN YOW BROWN RD BU GRN YOW BROWN I did nt find nther wy. 3 Written y Nncy R. Jhnsn