Keivan wants to build a tent for his next camping trip. He determines that each base will be an equilateral triangle with side lengths of

Question

and a height of
. The bases will be connected by rectangles with a length of
.

How much fabric will Keivan need to construct his tent?

Responses
A
B
C
D

Answer 1

The fabric needed can be calculated as follows:

For each triangle base:
Area = (1/2) * base * height
Area = (1/2) * (√3/2) * (15√3)
Area = (15√3)/4

For each rectangle connection:
Area = length * width
Area = 15√3 * 3
Area = 45√3

Keivan will need two equilateral triangle bases and three rectangles connections.

Total fabric needed = 2 * (15√3)/4 + 3 * 45√3
Total fabric needed = 15√3 + 135√3
Total fabric needed = 150√3

Therefore, Keivan will need 150√3 units of fabric to construct his tent.

Answer: A. 150√3