Applications involving Systems of Equationsand VariationsMathematics 17Institute of Mathematics, University of the Philippines-DilimanLecture 13Math 17(UP-IMath)Word ProbsLec 131 / 21

Outline1Verbal Problems involving Systems of Equations2VariationMath 17(UP-IMath)Word ProbsLec 132 / 21

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

Example: Find the dimensions of a rectangle if its diagonal is 17 incheslong and its perimeter is 46 inches.Solution: Let‘andwdenote the length and width of a rectangle,respectively.Math 17(UP-IMath)Word ProbsLec 133 / 21

Example: Find the dimensions of a rectangle if its diagonal is 17 incheslong and its perimeter is 46 inches.Solution: Let‘andwdenote the length and width of a rectangle,respectively.‘2+w2=172Math 17(UP-IMath)Word ProbsLec 133 / 21

Example: Find the dimensions of a rectangle if its diagonal is 17 incheslong and its perimeter is 46 inches.Solution: Let‘andwdenote the length and width of a rectangle,respectively.‘2+w2=1722‘+ 2w=46Math 17(UP-IMath)Word ProbsLec 133 / 21

Example: Find the dimensions of a rectangle if its diagonal is 17 incheslong and its perimeter is 46 inches.Solution: Let‘andwdenote the length and width of a rectangle,respectively.‘2+w2=172(1)2‘+ 2w=46(2)Math 17(UP-IMath)Word ProbsLec 133 / 21

Example: Find the dimensions of a rectangle if its diagonal is 17 incheslong and its perimeter is 46 inches.Solution: Let‘andwdenote 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

Example: Find the dimensions of a rectangle if its diagonal is 17 incheslong and its perimeter is 46 inches.Solution: Let‘andwdenote 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

Example: Find the dimensions of a rectangle if its diagonal is 17 incheslong and its perimeter is 46 inches.Solution: Let‘andwdenote 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

Example: Find the dimensions of a rectangle if its diagonal is 17 incheslong and its perimeter is 46 inches.Solution: Let‘andwdenote 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

Example: Find the dimensions of a rectangle if its diagonal is 17 incheslong and its perimeter is 46 inches.Solution: Let‘andwdenote the length and width of a rectangle,respectively.

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- Spring '11
- AaronJamesPorlante
- Systems Of Equations, Equations, Mass, Prime number, pipe, Inch, Word Probs