SOLUTION: the sum of the length and the width of a rectangular region is equal to 84 feet, whereas the corresponding positive difference is 19feet. Find the area of he enclosed rectangular r

Algebra ->  Linear-equations -> SOLUTION: the sum of the length and the width of a rectangular region is equal to 84 feet, whereas the corresponding positive difference is 19feet. Find the area of he enclosed rectangular r      Log On


   



Question 194710: the sum of the length and the width of a rectangular region is equal to 84 feet, whereas the corresponding positive difference is 19feet. Find the area of he enclosed rectangular region
(use a 2-variable approach)

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let x represent the length and let y represent the width, then:



and



Solve the system (all set up for the elimination method, just add the equations). Once you have the values for length and width, take the product to find the area.


John