SOLUTION: ok..this is a hard one. It looks like the top of a roof that goes into a point and comes down on both sides, but not even. there is a line separating the small triangle. Find t

Algebra ->  Polygons -> SOLUTION: ok..this is a hard one. It looks like the top of a roof that goes into a point and comes down on both sides, but not even. there is a line separating the small triangle. Find t      Log On


   



Question 118002: ok..this is a hard one. It looks like the top of a roof that goes into a point and comes down on both sides, but not even. there is a line separating the small triangle.
Find the area of the figure
inside the long part is 5ft down
and the bottom is 8 ft across
possible answers are
a) 40ft 2 pie
b) 20ft 2 pie
c) 52ft 2 pie
d) 26 ft 2 pie
i wish i could draw this...sigh. Thank you to anyone that can understand help me with this one.

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
Your figure is a cone.
inside the long part (height is 5ft+
and the bottom diameter is 8+ft ……..that means a radius=r of base, which is a circle, is r+=+4ft
so, the area A of this cone will be:

A+=+r%5E2%28Pi%29+%2B+rL%28Pi%29…where L is the slant_height

A+=+%284ft%29%5E2%28Pi%29+%2B+%284ft%29L%2A%28Pi%29…...now calculate L , to do it use Pythagorean Theorem

L%5E2+=+r%5E2+%2B+h%5E2
L%5E2+=+%284ft%29%5E2+%2B+%285ft%29%5E2
L%5E2+=+16ft%5E2+%2B+25ft%5E2+
L%5E2+=+41ft+%5E2

L=+sqrt%2841ft%5E2%29+
L=+6.4ft…we can round it to nearest whole number
L+=6ft+…….now, substitute it into A

A+=+%284ft%29%5E2%28Pi%29+%2B+%284ft%29%286ft%29%28Pi%29…
A+=+16ft%5E2%28Pi%29+%2B+24ft%5E2%28Pi%29…
A+=+40ft%5E2%28Pi%29+……so, your answer is a