SOLUTION: The length of a rectangular garden is 5 feet greater than the width. The area of the rectangle is 300 square feet. Find the length and the width.

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: The length of a rectangular garden is 5 feet greater than the width. The area of the rectangle is 300 square feet. Find the length and the width.      Log On


   

Question 30649: The length of a rectangular garden is 5 feet greater than the width. The area of the rectangle is 300 square feet. Find the length and the width.
Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
LEngth = x+5
Width = x
Equation:


Solve for x

a=1, b=5, c=-300

x=%28-5%2B-sqrt%285%5E2-4%2A1%2A-300%29%29%2F%282%2A1%29

x=%28-5%2B-sqrt%2825%2B1200%29%29%2F%282%2A1%29

x=%28-5-35%29%2F2 or x=%28-5%2B35%29%2F2

Remove negative:

x=15

15+5=20





Hence, the length is 20ft and the width is 15ft.Paul.