Answer:
153.26 feet
Explanation:
A tent takes the shape of a triangular based prism.
Surface area of a triangular based prism = wh + pL where;
w is the width of the triangle
h is the height of the tent
p is the perimeter of the triangle
L is the length of the pyramid
Given parameters
L = 7 ft
h = 5 ft
w = 6ft
slant height of the triangle can be gotten using the pythagoras theorem
s² = h²+(w/2)²
s² = 5²+(6/2)²
s² = 25+9
s² = 34
s = √34
s = 5.83 ft
perimeter of the triangular base = 5.83+5.83+6
perimeter of the triangular base p = 17.66 ft
TSA = 5(6) + 17.66(7)
TSA = 30 + 123.62
TSA = 153.62 feet
Hence the total surface area of the tent is 153.26 feet