Mathematics 10C pezA 7 Assignment Booklet 3A Reflect and Connect How UOY WIH small bas onethi seslo Reflect on this lesson by answering the following five questions. Binomial multiplication is useful in the design and construction industries, to name a couple. You can use binomials to determine the dimensions of a French door with a glass interior. The height to width ratio of the glass interior is 3 to 1. The frame adds 14 inches to the height and 10 inches to the width, as shown in the following illustration. 5 ir * lo esis eril stsulove 8 09 sfillamie wov pniab 4 051 (aram S) eerlani OS - x nerw/1060 or (3x) in rentwollot ert animated * x to oulsy end .s (exism s) 9 in 5 in 5 in x in (1 mark) RC 1. Write an algebraic expression for the height of the door. Beis latos ert d (extrem s) (1 mark) RC 2. Write an algebraic expression for the width of the door. MODULE 3: Lesson 1 ASSIGNMENTMathematics 10c 8 Assignment Booklet 3A (2 marks) RC 3. Write a simplified algebraic expression for the total area of the door including glass interior and frame. HINT: You will need to expand and then simplify! bel nep HOY elquad semen of egiveuon nonowifenog bar edlesh arab luteeu at, nonsollgulin ammonia and animalsb of alsimonid noumleblil criworld edi ol (2 marks) RC 4. Using your simplified algebraic expression that you found in RC 3, evaluate the area of the door when x = 20 inches. ni (xe) RC 5. If the height the door must be equal to 80 inches (a standard height for residential interior doors), then determine the following: (2 marks) a. the value of x (2 marks) b. the total area of the door MODULE 3: Lesson 1 ASSIGNMENT