SOLUTION: A rectangular parking lot is 100ft longer than it is wide. Determine the dimensions of the parking lot if it measures 500ft diagonally.
please help thank in advance
Algebra.Com
Question 169689This question is from textbook elementary and Intermediate algebra concepts and application
: A rectangular parking lot is 100ft longer than it is wide. Determine the dimensions of the parking lot if it measures 500ft diagonally.
please help thank in advance
This question is from textbook elementary and Intermediate algebra concepts and application
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A rectangular parking lot is 100ft longer than it is wide. Determine the dimensions of the parking lot if it measures 500ft diagonally.
-----------------------------------
Let the width be "x" ft.
Then the lengthis "x+100" ft
-----------------
Use Pythagoras to solve for "x":
x^2 + (x+100)^2 = 500^2
2x^2 + 200x + 10000 - 500^2 = 0
x^2 + 100x + 5000 - 250*500 = 0
x^2 + 100x - 120000 = 0
x = [-100 +- sqrt(100^2-4*-120000)]/2
Positive solution:
x = 300 ft. (width)
x+100 = 400 ft.(length)
==========================
Cheers,
Stan H.
RELATED QUESTIONS
A rectangular parking lot is 100 ft longer than it is wide. Determine the dimensions of... (answered by nerdybill)
b. A rectangular parking lot is 100 ft longer than it is wide. Determine the dimensions... (answered by jojo14344)
A rectangular parking lot is 100 ft longer than it is wide. Determine the dimensions of... (answered by midwood_trail,csteadman)
A rectangular parking lot is 50 ft longer than it is wide. Determine the dimensions of... (answered by Prithwis)
A rectangular parking lot is 50 ft longer than it is wide. Determine the dimensions of... (answered by Prithwis)
A rectangular parking lot is 50 ft longer than it is wide. Determine the dimensions of... (answered by Prithwis)
A rectangular parking lot is 50 ft longer than it is wide. Determine the dimensions of... (answered by venugopalramana,abdikaidr_jibril@yahoo.com)
A rectangular parking lot is 50 ft longer than it is wide. Determine the dimensions of... (answered by nerdybill)
A rectangular parking lot is 50 ft longer than it is wide. Determine the dimensions of... (answered by checkley77)