SOLUTION: about how many feet of fencing are needed to enclose a rectangular garden with a side 20 feet long and a 30 feet long diagnal
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Question 492096: about how many feet of fencing are needed to enclose a rectangular garden with a side 20 feet long and a 30 feet long diagnal
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
if one side is 20 feet long and the diagonal is 30 feet long, then the length of the other side can be found using the pythagorean formula of:
hypotenuse square = one leg squared plus the other leg squared.
let the hypotenuse = 30
let one of the legs = 20
let the other leg = x.
the formula becomes:
30^2 = 20^2 + x^2 which becomes:
900 = 400 + x^2
subtract 400 from both sides of this equation to get:
500 = x^2
take the square root of both sides of this equation to get:
22.3606798 = x
one side is equal to 20 feet.
the other side is equal to 22.3606798 feet.
the perimeter is equal to 2 times one side plus 2 times the other side which is equal to 2 * 20 + 2 * 22.3606798 = 40 + 44.7213596 = 84.7213596 feet of fencing required.
you're talking a minimum of 85 feet with some additional spare for unexpected circumstances.
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