SOLUTION: The perimeter of a rectangle is 124cm.If the length is 12 more than the width, find the length and the width.
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-> SOLUTION: The perimeter of a rectangle is 124cm.If the length is 12 more than the width, find the length and the width.
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x = length
y = width
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2x + 2y = 124
x = y + 12
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put the system of linear equations into standard form:
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2x + 2y = 124
x - y = 12
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solution:
x = length = 37 cm
y = width = 25 cm
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system matrix
2 2
1 -1
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inverse of system matrix
0.25 0.5
0.25 -0.5
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determinant of system matrix = -4
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