SOLUTION: Two sides of a square lie along the lines 2y = 20 - 3x and 3x + 2y = 48. Find the area of the square.

Question 1186110: Two sides of a square lie along the lines 2y = 20 - 3x and 3x + 2y = 48. Find the area of the square.
Answer by ikleyn(52858) (Show Source): You can put this solution on YOUR website!
.

The two lines are parallel.


The distance between them is


    Q =  = 


(see my post https://www.algebra.com/algebra/homework/Finance/Finance.faq.question.1186108.html )


This distance is the side length of the square.


THEREFORE, the area of the square is  , i.e.


    area =  =  =  = 60.30769  (rounded).        ANSWER

Solved and explained.

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