SOLUTION: An airplane ticket has an area of 70 square centimeters. Its perimeter is 34 centimeters. What are the dimensions of the ticket?
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Question 452744: An airplane ticket has an area of 70 square centimeters. Its perimeter is 34 centimeters. What are the dimensions of the ticket? Answer by ilana(307) (Show Source):
You can put this solution on YOUR website! If it's length and width are x and y, then its area is xy and its perimeter is 2x + 2y. So you can write 2 equations and solve the system.
xy = 70
2x + 2y = 34
Substitute 70/y for x (from the first equation) into the second equation.
2(70/y) + 2y = 34
140/y + 2y = 34
Multiply everything by y.
140 + 2y^2 = 34y
2y^2 - 34y + 140 = 0
Divide everything by 2.
y^2 - 17y + 70 = 0
(y - 10)(y - 7) = 0
y = 7 or 10
So the dimensions are 7 cm by 10 cm.
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