Question 118075: Solve.
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 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.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 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 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.
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Draw the picture: you have two right triangles, each with a hypotenuse of 7m
and sharing a height of 3m.
Let the base of one of the triangles be "x".
EQUATION:
7^2 = x^2+3^2
x^2 = 49-9
x = sqrt40
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That covers half the length of the rafter.
The full length = 2sqrt40 = 12.65 m
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Cheers,
Stan H.
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