If the perimeter of a rectangle is 5x2+2xy−7y2+16, and the length is −2x2+6xy−y2+15, what is the width? Algebra Expressions, Equations, and Functions Problem-Solving Models 1 Answer Mia Oct 27, 2016 ⇒W=92x2−5xy−52y2−7 Explanation: Name P the perimeter of the rectangle. Name L its length and W its width. Given: P=5x2+2xy−7y2+16 L=−2x2+6xy−y2+15 PRec=2⋅(L+W) ⇒5x2+2xy−7y2+16=2⋅(−2x2+6xy−y2+15+W) ⇒5x2+2xy−7y2+16=−4x2+12xy−2y2+30+2W ⇒5x2+2xy−7y2+16+4x2−12xy+2y2−30=+2W ⇒5x2+4x2+2xy−12xy−7y2+2y2+16−30=+2W ⇒9x2−10xy−5y2−14=+2W ⇒9x2−10xy−5y2−142=W ⇒92x2−5xy−52y2−7=W Answer link Related questions What are the steps to solving a word problem? Where do I start when I'm trying to solve a word problem? How do you check a solution to a problem? What are the different strategies used to solve a word problem? What is the best method of determining the cost of downloading 26 movies, if it cost $2.25 to... How do you solve word problems involving percents? What are commonly used math terms that translates to addition, subtraction, multiplication, and division? How much pure antifreeze should be added to 3 gallons of a 30 percent antifreeze solution to get... How would you use equations to calculate the age of Al given that Al's father is 45 and he is 15... How do you solve x=y−1y+1 for y? See all questions in Problem-Solving Models Impact of this question 1710 views around the world You can reuse this answer Creative Commons License