Question 73499: 3. Write a system of two equations in two unknowns. Solve the system by using the substitution method. « The length of a rectangular field is 12 feet longer than the width. If the perimeter is 144 feet, then what are the length and width ? » Show your work.
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! Write a system of two equations in two unknowns. Solve the system by using the substitution method. «
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"The length of a rectangular field is 12 feet longer than the width." says:
L = W + 12
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"If the perimeter is 144 feet," says
2L + 2W = 144
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then what are the length and width ? » Show your work.
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Using the 1st equation, substitute (W+12) for L in the 2nd equation:
2(W+12) + 2W = 144
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Simplify, divide equation by 2 and you have:
W + 12 + W = 72
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2W = 72 - 12
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W = 60/2
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W = 30
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I'll let you find the length, check both solutions in the perimeter equation
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