Question

Sporting goods company sells tents in two styles, shown below. The sides and floor of each tent are made of nylon. Which tent requires less nylon to manufacture? Use 3.14 for pi and round to the hundredths place.

Answer 1

Missing portion of the question:

Question has missing the images for both type of tents hence the lengths were also missing which is attached in the picture.

Answer:

Tunnel Tent requires less nylon as its area (214.80ft²) is less than the area of Pup tent (247.40ft²)

Explanation:

Pup Tent:

Area for Pup Tent: (Perimeter)(Height) + 2 (Area of front triangular side)

Perimeter=sum of all sides = 8+8+8=24

Height = 8

Area of Triangle = (1/2) length * height

length=8

height can be calculated by Pythagorean Theorem:

hyp²=base²+perp²

height = perp=4√3

So,

Area of Triangle = (1/2) length * height

=27.7

Hence,

Area for Pup Tent: (Perimeter)(Height) + 2 (Area of front triangular side)

=(24)(8)+(2)(27.7)

=247.40m²

Tunnel Tent:

Area of tunnel tent = πrh + πr² + 2rh

π=constant=3.14

r=radius=4

h=height=8

Area of tunnel tent = πrh + πr² + 2rh

=(3.14)(4)(8)+(3.14)(4)²+2(4)(8)

=214.80m²