Comment
The gardens are square. There are two of them. The total is 18000 square feet. There is a relationship between smallest and largest square.
Development of the Equation.
Formula for a square = s*s
The first garden has a side of s
The larger garden has a side of 2s
The area of the first garden = s^2
The area of the 2nd garden = (2s)^2
The two areas together are
s^2 + (2s)^2 = 18000
Solve
s^2 + 4s^2 = 18000 Add the like terms on the left.
5s^2 = 18000 Divide by 5
s^2 = 18000/5
s^2 = 3600 Take the square root of both sides.
sqrt(s^2) = sqrt(3600)
s = 60 For the small garden
2s = 2*s = 2*60 = 120 for the large garden.
Answers
Small garden = 60 by 60
Large garden = 120 by 120
Check
Area of the small garden = 60 * 60 = 3600
Area of the large garden = 120*120 = 14400
Total Area = 18000 and it checks.
