Answer: 151
Step-by-step
you need to first find the area of each piece of the tent
the 2 rectangular flaps would be 6*8= 48 each
the bottom would be 4*8=32
to find the area of the triangular pieces we need to know the height of each triangle, right now we only know sides. To find the height (the altitude) you draw a line straight down to make a 90 degree angle.
that will also cut your base in half (2 instead of 4) and make 6 your hypotenuse
now use the Pythagorean theorem to find the height of the triangle
[tex]a^{2} +b^{2} =c^{2} \\\\a^{2} +2^{2} =6^{2} \\a^{2} +4=36\\a^{2} =32\\a=\sqrt{32} = 5.66[/tex]
Area of a triangle is
[tex]\frac{1}{2} bh\\\frac{1}{2} (4)(5.66)= 11.31[/tex]
the area of one triangle is 11.31
so together it is 48+48+32+11.31+11.31= 150.6
round up to 151
