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A tent company has a tent design that is a triangular prism. The following is a net of the design.

If a = 68 inches, b = 69 inches, c = 44 inches, and d = 64 inches, how much fabric is needed to make the tent?

A. 22,264 sq in.

B. 15,236 sq in.

C. 14,080 sq in.

D. 23,460 sq. in

A tent company has a tent design that is a triangular prism The following is a net of the designIf a 68 inches b 69 inches c 44 inches and d 64 inches how much class=

Respuesta :

dcrim1972

Answer:

first...you have to split the net into three rectangles and two triangles

picture inserted

Step-by-step explanation:

step 1

triangular base area

1/2 bh = 1/2 (44 in)(64 in)

= 1/2 (2,816 sq in)

= 1,408 sq in.

2 x 1,408 sq in = 2,816 sq in.

step 2

end rectangle area

lw = (68 in)(69 in)

= 4,692 sq in

2 x 4,692 sq in = 9,384 sq in

Now find the area of the middle rectangle

lw - (69 in) (44 in) = 3,039 sq in.

then add all the areas together

2,816 + 9,384 + 3,036 = 15,236 sq in

Ver imagen dcrim1972

The fabric that is required to make the tent should be B. 15,236 sq in.

Calculation of fabric required:

triangular base area

1/2 bh = 1/2 (44 in)(64 in)

= 1/2 (2,816 sq in)

= 1,408 sq in.

Now

2 (1,408 sq in) = 2,816 sq in.

Now

end rectangle area

lw = (68 in)(69 in)

= 4,692 sq in

So,

2  (4,692 sq in) = 9,384 sq in

Now determine the area of the middle rectangle

So,

lw - (69 in) (44 in) = 3,039 sq in.

So, the fabric required is

= 2,816 + 9,384 + 3,036

= 15,236 sq in

Learn more about prism here: https://brainly.com/question/22474603

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