16. Four mark exericse problems IV

1. A contractor uses the expression \(4x^2 + 11x + 6\) to determine the amount of wire to order when wiring a house. If the expression comes from multiplying the number of rooms times the number of outlets and he knows the number of rooms to be \((x + 2)\), find the number of outlets in terms of '\(x\)'. [Hint: factorise \(4x^2 + 11x + 6\)]

 

2. A mason uses the expression \(x^2 + 6x + 8\) to represent the area of the floor of a room. If the decides that the length of the room will be represented by \((x + 4)\), what will the width of the room be in terms of \(x\)?