Victory for the ACT Exam 16e TG Sample

512 • M ATH

STUDENT TEXT, p. 187 14. Ibfyt h1e0 %w i adnt hd ot hf ea lreenc gt at hn gol fe tihs ei nr ec rcet aans egdl e idsoiensc rt he ae saerde ab yo f2t0h%e ,r be cyt wa nhgal te p e r c e n t a g e increase ? F. G H . . 1 1 2 0 5 %% % J. 32%

EXPLANATIONS

14. (J) Mathematics/Geometry/Rectangles and Squares and Number and Quantity/ Percentages CC: 7.RP.A.3 CCRS: AVG.AF.1 Difficulty Level = 2; Teaching Time = 5–8 minutes; Purpose = Walkthrough Ta chtius ai lt edmi mceanns bi oenssoal vneddubsyi nags tshuem“ipnlgu g - aonr idg-icnhaul gl e”nsgt rt ha toefg tyh. Ae srseuc mt a en gt hl eaitst h e 10 and that the original width is 10: area area lw & = = rectangle original (10)(10) = 100 . Increase the length by 2w0i d%t h( fbr yo m1 01%0 (t of r o1m2 )1a0ntdo i1n1c)r:e a s e t h e (12)(11) 132 area = = . new Use the “change-over-original” formula: % T = 0 (100) Original Area New Area Original Area

100 32% 100 132 100 ] g .