The total area of the 3 equilateral triangles can be calculated as:
Area of equilateral triangle = (sqrt(3)/4) * side^2
Area of equilateral triangle = (sqrt(3)/4) * 4^2
Area of equilateral triangle = (sqrt(3)/4) * 16
Area of equilateral triangle = 4*sqrt(3)
Total area of 3 equilateral triangles = 3 * 4*sqrt(3)
Total area of 3 equilateral triangles = 12*sqrt(3)
The area of the 3 rectangles can be calculated as:
Area of rectangle = length * width
Area of rectangle = 7 * 2.8
Area of rectangle = 19.6
Total area of 3 rectangles = 3 * 19.6
Total area of 3 rectangles = 58.8
Total fabric needed = Total area of 3 triangles + Total area of 3 rectangles
Total fabric needed = 12*sqrt(3) + 58.8
Total fabric needed ≈ 39.2
Therefore, the correct response is:
B: 39.2
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 4 and a height of .2.8 The bases will be connected by rectangles with a length of 7
How much fabric will Keivan need to construct his tent?
Responses
A:33.6
B:39.2
C89.6
D95.2
1 answer
1 answer