Answer
$72.7 ft^2$
Work Step by Step
The tent is composed of 2 identical triangles and 3 identical rectangles.
Two of the angles of the triangle are $60^\circ$ , thus the third angle is $180-(60+60) = 60^\circ$ and the triangle is an equilateral one.
Let $X$ be the length of the side of the triangle. From the right angled triangle, $X$ can be obtained as follows:
$$X = \frac{3}{sin60^\circ}= 3.4641 ft$$
Let $A_1$ denote the area of one triangle and $A_2$ of one rectangle.
$$A_1 = \frac{1}{2}\times Base\times Height$$
$$A_1 = \frac{1}{2}\times 3.4641 \times 3 = 5.196 ft^2 $$
$$A_2 = Width \times Length $$
$$A_2 = 3.4641 \times 6 = 20.7846 ft^2$$
$$Total Area = 2\times A_1+3\times A_2 $$
$$Total Area = 2\times 5.196 + 3\times 20.7846 \approx 72.7 ft^2 $$
$72.7 ft^2$ of material is needed to make the tent.
