To calculate the total fabric needed, we first need to determine the surface area of each base and each rectangle.
Surface area of an equilateral triangle with side length 5:
A = (sqrt(3) / 4) * s^2
A = (sqrt(3) / 4) * 5^2
A = (sqrt(3) / 4) * 25
A = (1.732 / 4) * 25
A = 4.33 * 25
A = 108.25 square units
Surface area of a rectangle with length 7 and width 5:
A = l * w
A = 7 * 5
A = 35 square units
Total fabric needed for the tent:
2 bases = 2 * 108.25 = 216.5 square units
3 rectangles = 3 * 35 = 105 square units
Total fabric needed = 216.5 + 105 = 321.5 square units
Therefore, Keivan will need 321.5 square units of fabric to construct his tent.
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 7. How much fabric will Keivan need to construct his tent?Responses
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