SOLUTION: An isosceles trapezoid has a perimeter of 85 inches. Its shorter base measures 10 inches and its longer base measures 11 inches. The two remaining sides have the same length; what

Algebra ->  Triangles -> SOLUTION: An isosceles trapezoid has a perimeter of 85 inches. Its shorter base measures 10 inches and its longer base measures 11 inches. The two remaining sides have the same length; what       Log On


   

Question 970519: An isosceles trapezoid has a perimeter of 85 inches. Its shorter base measures 10 inches and its longer base measures 11 inches. The two remaining sides have the same length; what is that length?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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B%5B1%5D=Shorter Base=10 inches; B%5B2%5D=Longer Base=11 inches; P=perimeter=85 inches; S%5B1%5D=Side 1; S%5B2%5D=Side 2=Side 1
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P=B%5B1%5D%2BB%5B2%5D%2BS%5B1%5D%2BS%5B2%5D Substitute S%5B2%5D=S%5B1%5D
85in=10in%2B11in%2BS%5B1%5D%2BS%5B1%5D Subtract 21 inches from each side
64in=2S%5B1%5D Divide each side by 2.
32in=S%5B1%5D Side 1 is 32 inches.
ANSWER: Since the sides are equal, both sides are 32 inches