The total amount of fabric needed to construct the tent can be calculated as the sum of the area of the two equilateral triangles for the bases and the four rectangles for the sides.
Area of an equilateral triangle with side length s and height h: (sqrt(3)/4)*s^2
Area of a rectangle with length l and width w: l*w
Given:
Side length of equilateral triangle (s): 10 meters
Height of equilateral triangle (h): 8 meters
Length of rectangle (l): 8 meters
Calculations:
Area of each equilateral triangle: (sqrt(3)/4)*10^2 = 25sqrt(3) square meters
Area of each rectangle: 8*10 = 80 square meters
Total fabric needed:
2*(25sqrt(3)) + 4*80 = 50sqrt(3) + 320 square meters
So, Keivan will need 50sqrt(3) + 320 square meters of fabric to construct his tent.
Answer: C) 50sqrt(3) + 320
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Question
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
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
1 answer
1 answer