Q:

How much fabric is needed to make a tent in the shape of a triangular prism with the following measures?273 ft 2329 ft 2294 ft 2266 ft 2

Accepted Solution

A:
Answer: 300 ft^2Step-by-step explanation:The total area will be some sum of areas of rectangles and triangles. The area of a rectangle is the product of its length and width: A = LWThe area of a triangle is half the product of its base length and height: A = (1/2)bhIf we assume the dimensions shown on the diagram are supposed to be feet, rather than yards, the areas can be added up as follows: left side flap: (8 ft)Β·(12 ft) = 96 ft^2 right side flap: (5 ft)Β·(12 ft) = 60 ft^2Then the area of the two side flaps togther is ... left flap area + right flap area = (96 +60) ft^2 = 156 ft^2The bottom area is ... (9 ft)Β·(12 ft) = 108 ft^2The area of each triangular end is .. end area = (1/2)(9 ft)(4 ft) = 18 ft^2so the two of them together total 2Β·(18 ft^2) = 36 ft^2.Then the sum of areas for the side flaps, bottom, and triangular ends is ... (156 + 108 + 36) ft^2 = 300 ft^2_____Comment on the questionWe cannot find any combination of these areas that will add to give any of the offered answers. We believe this question should be regarded as a waste of time, badlly edited and not checked by its publisher. Unfortunately, there are all too many of those in published curriculum today. You have every right to be confused by it.