Answer
$= 101.6$ sq ft of tent material.
Work Step by Step
1. Tent shapes
$= 3$ rectangles (2 sides and 1 floor)
$= 4$ right angled triangles
2. Find the top angle of the right angled triangle
$= 180 - (60+90)$
$= 180 - 150$
$= 30˚$
3. Find the missing base of the triangle
$\frac{x}{sin30} = \frac{4}{sin60}$
$x = \frac{4sin30}{sin60}$
by GDC / Calculator
$x = 2.3094...$ ft
4. Find the area of the triangle
$= base \times height \div 2$
$= (2.309 \times 4) \div 2$
$= 4.618...$ sq ft
5. Multiple the number of right angled triangles that make up the tent
$= 4.618 \times 4$
$= 18.4752...$ sq ft
6. Find the area of the rectangular tent floor and the sides
$= length \times width$
$= 6 \times 4.61880...$
$= 27.7128...$
$= 3(27.7128)$
$= 83.138...$ sq ft
7. Total area of the tent material
$= 83.138 + 18.4752$
$= 101.61364...$ sq ft
$= 101.6$ sq ft
