Posted by Micha on .
A homeowner wishes to insulate her attic with fiberglass insulation to
conserve energy. The insulation comes in 40cm wide rolls that are cut to fit between
the rafters in the attic. If the roof is 6 m from peak to eave and the attic space
is 2 m high at the peak, how long does each of the pieces of insulation need to be?
Round to the nearest tenth.

Algebra 
Micha,
I am sorry, How would I set this problem up?

Algebra 
Ms. Sue,
First, you have a rightangle triangle; its height is 2 m and its hypotenuse is 6 m. To find the base, use the Pythagorean theorem: a^2 + b^2 = c^2. This gives you half the length of a piece of insulation. Double that number to find the total length of each piece.
If you post your answer, we'll be glad to check it. 
Algebra 
Micha,
Okay,If I understand this is what I come up with.
square root of 6^22^2=x^2
square root of 364=x^2
square root of 32=x^2
x=4 square root of 2*2= x=8 square root of 2= approx. 11.3 m 
Algebra 
Ms. Sue,
Right! You've got it! :)

Algebra 
Micha,
Thanks! :)