Posted by **Micha** on Monday, October 1, 2007 at 12:34pm.

A homeowner wishes to insulate her attic with fiberglass insulation to

conserve energy. The insulation comes in 40-cm 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**, Monday, October 1, 2007 at 12:34pm
I am sorry, How would I set this problem up?

- Algebra -
**Ms. Sue**, Monday, October 1, 2007 at 1:15pm
First, you have a right-angle 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 -
**Ms. Sue**, Monday, October 1, 2007 at 2:44pm
Right! You've got it! :-)

- Algebra -
**Micha**, Tuesday, October 2, 2007 at 12:33am
Thanks! :)

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