SOLUTION: a pie-shaped (triangular) lake-front lot has a perimeter of 1200 ft. One side is 200 ft longer than the shortest side, while the third side is 400 feet longer than the shortest si

Question 574963: a pie-shaped (triangular) lake-front lot has a perimeter of 1200 ft. One side is 200 ft longer than the shortest side, while the third side is 400 feet longer than the shortest side. What are the lengths of all three sides?

Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
perimeter equals 1200 feet.
shortest side is equal to x.
one side is 200 feet longer than the shortest side, so it is equal to x + 200
another side is 400 feet longer than the shortest side, so it is equal to x + 400
perimeters equals the sum of all 3 sides, so the perimeter is equal to:
x + x + 200 + x + 400 which is equal to:
3x + 600.
since the perimeter is equal to 1200 feet, then we get:
3x + 600 = 1200
subtract 600 from both sides of the equation to getr:
3x = 600
divide both sides of the equation by 3 to get:
x = 200
shortest side is equal to 200
next shortest side is equal to 400
next shortest side is equal to 600
add them up together and you get 1200.
second shortest side is 200 more than the shortest side.
longest side is 400 more than the shortest side.
requirements of the problem have been satisfied.

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