A13 - word problems variation - Applications involving Systems of Equations and Variations Mathematics 17 Institute of Mathematics University of the

A13 - word problems variation - Applications involving...

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Applications involving Systems of Equationsand VariationsMathematics 17Institute of Mathematics, University of the Philippines-DilimanLecture 13Math 17(UP-IMath)Word ProbsLec 131 / 21
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Outline1Verbal Problems involving Systems of Equations2VariationMath 17(UP-IMath)Word ProbsLec 132 / 21
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Example: Find the dimensions of a rectangle if its diagonal is 17 incheslong and its perimeter is 46 inches.Math 17(UP-IMath)Word ProbsLec 133 / 21
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Example: Find the dimensions of a rectangle if its diagonal is 17 incheslong and its perimeter is 46 inches.Solution: Letandwdenote the length and width of a rectangle,respectively.Math 17(UP-IMath)Word ProbsLec 133 / 21
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Example: Find the dimensions of a rectangle if its diagonal is 17 incheslong and its perimeter is 46 inches.Solution: Letandwdenote the length and width of a rectangle,respectively.2+w2=172Math 17(UP-IMath)Word ProbsLec 133 / 21
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Example: Find the dimensions of a rectangle if its diagonal is 17 incheslong and its perimeter is 46 inches.Solution: Letandwdenote the length and width of a rectangle,respectively.2+w2=1722+ 2w=46Math 17(UP-IMath)Word ProbsLec 133 / 21
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Example: Find the dimensions of a rectangle if its diagonal is 17 incheslong and its perimeter is 46 inches.Solution: Letandwdenote the length and width of a rectangle,respectively.2+w2=172(1)2+ 2w=46(2)Math 17(UP-IMath)Word ProbsLec 133 / 21
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Example: Find the dimensions of a rectangle if its diagonal is 17 incheslong and its perimeter is 46 inches.Solution: Letandwdenote the length and width of a rectangle,respectively.2+w2=172(1)2+ 2w=46(2)From eq. 2,+w= 23Math 17(UP-IMath)Word ProbsLec 133 / 21
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Example: Find the dimensions of a rectangle if its diagonal is 17 incheslong and its perimeter is 46 inches.Solution: Letandwdenote the length and width of a rectangle,respectively.2+w2=172(1)2+ 2w=46(2)From eq. 2,+w= 23= 23-wMath 17(UP-IMath)Word ProbsLec 133 / 21
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Example: Find the dimensions of a rectangle if its diagonal is 17 incheslong and its perimeter is 46 inches.Solution: Letandwdenote the length and width of a rectangle,respectively.2+w2=172(1)2+ 2w=46(2)From eq. 2,+w= 23= 23-w(23-w)2+w2Math 17(UP-IMath)Word ProbsLec 133 / 21
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Example: Find the dimensions of a rectangle if its diagonal is 17 incheslong and its perimeter is 46 inches.Solution: Letandwdenote the length and width of a rectangle,respectively.2+w2=172(1)2+ 2w=46(2)From eq. 2,+w= 23= 23-w(23-w)2+w2= 289Math 17(UP-IMath)Word ProbsLec 133 / 21
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Example: Find the dimensions of a rectangle if its diagonal is 17 incheslong and its perimeter is 46 inches.Solution: Letandwdenote the length and width of a rectangle,respectively.
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