Mathematics - Lecture 13 "Applications involving systems of equations and variations" presents the following content: Verbal problems involving systems of equations, variation. | 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 respectively. and w denote the length and width of a rectangle, 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 respectively. and w denote the length and width of a rectangle, 2 Math 17 (UP-IMath) + w2 = 172 Word Probs Lec 13 3 / .