SOLUTION: Tutor, May I get some help with this word problem? Insulation comes in 40-cm wide rolls. If the roof is 7 m from peak to eave and the attic space is 3 m high at the peak,

Question 101472This question is from textbook Beginning Algebra
: Tutor,
May I get some help with this word problem?
Insulation comes in 40-cm wide rolls. If the roof is 7 m from peak to eave and the attic space is 3 m high at the peak, how long does each of the pieces of insulation need to be? Round to the nearest tenth.
Thank you for your help with this problem. This question is from textbook Beginning Algebra

Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
This is a Pythagorean theorem problem. You'd told the roof side is 7 m, and the height is 3. So apply the theorem we know that 7^2 = 3^2 + x^2. Simplifying, we have 49 = 9 + x^2. So x^2 = 40, which means x = sqrt(40).
That would be a piece that goes half way across the roof, since the triangle I solved was from the center of the roof to the eave.
Therefore, each piece has to 2 * sqrt(40).
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