SOLUTION: Ellen wants to put some edging around her lawn The lawn is in the shape of a right-angle triangle The edging is sold in pieces 110cm long and 20cm high The price of each piece i

Algebra ->  Pythagorean-theorem -> SOLUTION: Ellen wants to put some edging around her lawn The lawn is in the shape of a right-angle triangle The edging is sold in pieces 110cm long and 20cm high The price of each piece i      Log On


   



Question 987355: Ellen wants to put some edging around her lawn
The lawn is in the shape of a right-angle triangle
The edging is sold in pieces 110cm long and 20cm high
The price of each piece is £5
Calculate how much it will cost Ellen to do the job
The lengths of the lawn is 6m high and 4m long
could you show me the method please

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Ellen wants to put some edging around her lawn
The lawn is in the shape of a right-angle triangle
The edging is sold in pieces 110cm long and 20cm high
The price of each piece is £5
Calculate how much it will cost Ellen to do the job
The lengths of the lawn is 6m high and 4m long
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Draw a right triangle with legs of 6m and 4m
Find the hypotenuse::
h = sqrt(6^2+4^2) = sqrt(36+16) = sqrt(52) = sqrt(4*13) = 2sqrt(13)
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Perimeter of the triangle = 6+4+2sqrt(13) = [10+2sqrt(13)] meters
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Convert to centimeters:: (10+2sqrt(13)*100 = (1000+200sqrt(13))cm
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Ans::# of pieces needed:: (1000+200sqrt(13))/110
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Cost = $5[1000+200sqrt(13))/110 = (1000+200sqrt(13))/22 = $76.95
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Cheers,
Stan H.