Answer:
9 sides
Step-by-step explanation:
exterior angle + interior angle = 180° , so
exterior angle + 140° = 180° ( subtract 140° from both sides )
exterior angle = 40°
The sum of the exterior angles of a polygon = 360°
Dividing sum by the measure of 1 exterior angles gives number of sides
number of sides = 
= 9
The lateral area of the prism is given by:
LA=[area of the two triangles]+[area of the lateral rectangles]
hypotenuse of the triangle will be given by Pythagorean:
c^2=a^2+b^2
c^2=6^2+4^2
c^2=52
c=sqrt52
c=7.211'
thus the lateral area will be:
L.A=2[1/2*4*6]+[6*8]+[8*7.211]
L.A=24+48+57.69
L.A=129.69 in^2
The total are will be given by:
T.A=L.A+base area
base area=length*width
=4*8
=32 in^2
thus;
T.A=32+129.69
T.A=161.69 in^2
Put the first number on top then start adding 6+0, 8+1, 0+4, 1+1, 0+0 and the answer is 69420
