SOLUTION: The width of a rectangular parking lot is 61 ft less than its length. Determine the dimensions of the parking lot if it measures 240 ft diagonally.

Algebra ->  Length-and-distance -> SOLUTION: The width of a rectangular parking lot is 61 ft less than its length. Determine the dimensions of the parking lot if it measures 240 ft diagonally.      Log On


   

Question 1056746: The width of a rectangular parking lot is 61

ft less than its length. Determine the dimensions of the parking lot if it measures 240

ft diagonally.
Answer by jorel555(1290) About Me  (Show Source):
You can put this solution on YOUR website!
Let l be the length of the lot. Then the width is l-61. So:
l²+(l-61)²=240²
2l²-122l-53879=0
Using the quadratic formula, we get
l=197.442355321 or -136.442355321
Throwing out the negative answer, the parking lot is 197.442 ft. long and 136.442 ft. wide. ☺☺☺☺