An airplane ticket has a perimeter of 30 centimeters. Its area is 50 square centimeters. What are the dimensions of the ticket?
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Answer:
length = 10
width = 5
Step-by-step explanation:
2l + 2w = 30
lw = 50 -----> w = 50/l
2l + 2(50/l) = 30
2l + 100/l = 30
2l2 + 100 = 30l
2l2 - 30l + 100 = 0
l2 - 15l + 50 = 0
(l - 5)(l - 10) = 50
l - 5 = 0
l = 5
w = 50/5 = 10
l - 10 = 0
l = 10
w = 50/10 = 5
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