5. (a) Two triangles are similar. A side of one triangle is 10 cm long while the length of the corresponding side of the other triangle is 18 cm. If the given sides are the bases of the triangles and the area of the smaller triangle is 40 cm2 , find the area and the height of the larger triangle.
(b) The temperature (Ti) inside a house is directly proportional to the temperature (To) outside the house and is inversely proportional to the thickness (t) of the house wall. If Ti = 32°C when To = 24°C and t = 9cm , find the value of t when Ti = 36°C and To = 18°C
11. A small industry makes two types of clothes namely type A and type B. Each type A takes 3 hours to produce and uses 6 metres of material and each type B takes 6 hours to produce and uses 7 metres of material. The workers can work for a total of 60 hours and there is 90 metres of material available. If the profit on a type A cloth is 4,000 shillings and on a type B is 6,000 shillings, find how many of each type should be made for maximum profit.