SOLUTION: Help me translate this into a quadratic equation and solve. Thanks! A rectangle parking lot is 50 ft longer than its width. Determine the dimensions of the parking lot if it is

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Help me translate this into a quadratic equation and solve. Thanks! A rectangle parking lot is 50 ft longer than its width. Determine the dimensions of the parking lot if it is      Log On


   

Question 139336: Help me translate this into a quadratic equation and solve. Thanks!
A rectangle parking lot is 50 ft longer than its width. Determine the dimensions of the parking lot if it is measures 250 ft. diagonally.
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
let x=width, so x+50=length

by Pythagoras __ x^2+(x+50)^2=250^2 __ x^2+x^2+100x+2500=62500 __ dividing by 2 __ x^2+50x+1250=31250

subtracting 31250 __ x^2+50x-30000=0 __ factoring __ (x+200)(x-150)=0

x+200=0 __ x=-200 __ negative value not realistic

x-150=0 __ x=150

150-200-250 is a 3-4-5 triangle