You have been asked to create a tent for an upcoming trip. The length will be 6ft, the width 4 ft and the height 4 ft. Approximately what is the size of tarp needed to complete your tent? (you will include the floor and door.
We heed to find the slant height of the sides.....this =
sqrt ( 1/2width^2 + height^2) =
sqrt ( 2^2 + 4^2) =
sqrt (20) = sqrt (4 * 5) = sqrt (4) * sqrt (5) = 2sqrt (5)
The area of the sides = 2 (2sqrt(5)) *length = 4[sqrt (5)] (6) = 24sqrt (5)
We also need to find the area of both ends [ the door and the other end ] .....thes are triangles with bases of 4 and heights of 4
The sum of these areas = 2 (1/2) ( 4)(4) = 16
The floor = width of tent * length = 4 * 6 = 24
So....the total surface area = 24sqrt (5) + 16 + 24 ≈ 94 ft^2