Question

Roofing a Barn Your neighbor is a farmer and his barn is in need of a total roof replacement. The farmer has already taken the roof off and wishes to put a new tin roof on. To put on a tin roof you need to lay down sheets of plywood and nail the tin on top of the plywood. Your job is to find out how much it would cost to buy the supplies and decide if you want to pay a farmhand to replace the roof. Part 1: Finding the area of the roof In order to determine the amount of plywood and tin that is needed for the roof you have to determine the area of the roof. Use the blueprints below to determine the total amount of area the roof of the barn will cover. (For accuracy purposes assume that the overhang is calculated in the distance given.) id Width of Roof B 30. 2 Width of Roof A 30 lt. Notice that the barn is symmetrical. On each side of the barn we have "roof A" and "roof B" which are both rectangular in shape and have a length of 30 ft. In

Answer 1

selution We first calculate the area of loof À Looking sideways we observe a right La triangle with legs. 8 & 15. - bitter of roof a = 187154 od 289 = 17 Area of roof A = Width x length = 17x30 _ = 510462 & Now we find area of roof B. Width of saf B = {4}+($). = 25 = 5 Area of roof B = Width x Length = 5x30 = 150 ft Total Area = 2(Area + Area) (Roof is = 2(150+510) fc? = 2/660) tt² This total area = 1320412 will be twice) -Apimetrical