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Applications involving Systems of Equations and Variations
Mathematics 17
Institute of Mathematics, University of the Philippines-Diliman
Lecture 13
Math 17 (UP-IMath) Word Probs Lec 13 1 / 18
Outline
1 Verbal Problems involving Systems of Equations
2 Variation
Math 17 (UP-IMath) Word Probs Lec 13 2 / 18
Example: Find the dimensions of a rectangle if its diagonal is 17 inches long and its perimeter is 46 inches.
Math 17 (UP-IMath) Word Probs Lec 13 3 / 18
Example: Find the dimensions of a rectangle if its diagonal is 17 inches long and its perimeter is 46 inches.
Solution: Let ‘ and w denote the length and width of a rectangle, respectively.
Math 17 (UP-IMath) Word Probs Lec 13 3 / 18
Example: Find the dimensions of a rectangle if its diagonal is 17 inches long and its perimeter is 46 inches.
Solution: Let ‘ and w denote the length and width of a rectangle, respectively.
‘2 +w2 = 172
Math 17 (UP-IMath) Word Probs Lec 13 3 / 18
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