SOLUTION: I need help on this question: Lenny and Squiggy each make an equilateral triangle out of sticks. A side of Lenny's triangle is 10 inches longer than a side of Squiggy's triangle

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Question 655636: I need help on this question:
Lenny and Squiggy each make an equilateral triangle out of sticks. A side of Lenny's triangle is 10 inches longer than a side of Squiggy's triangle. The sum of the perimeters of BOTH triangles is 186 inches. Find the sides of both of their triangles.
Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
They should have asked Laverne and Shirley. All the sides of an equilateral triangle are the same.


Call Squiggy's sides x and Lenny's sides x+10. The perimeter of S's triangle is 3x and the perimeter of L's triangle is 3(x+10) = 3x + 30.


The sum of the perimeters is 3x + 3x +30 = 186 (solve for x)


6x = 156 and x = 26.


S's triangle has sides of 26 for a perimeter of 78. L's triangle has sides of x+10 = 36 and a perimeter of 108.