SOLUTION: The length of rectangular garden is 5 feet longer than the width. If the area of the garden is 36 square feet, find the length and width of the garden.

Algebra ->  Pythagorean-theorem -> SOLUTION: The length of rectangular garden is 5 feet longer than the width. If the area of the garden is 36 square feet, find the length and width of the garden.      Log On


   

Question 1103190: The length of rectangular garden is 5 feet longer than the width. If the area of the garden is 36 square feet, find the length and width of the garden.
Found 2 solutions by josgarithmetic, Fombitz:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x%28x%2B5%29=36, so maybe 4 and 9

Do you feel like using simpler ideas?
Left side shows two factors.
Right side shows their product.

Factorizations of 36:
1 and 36
2 and 18
3 and 12
4 and 9
6 and 6

Which of those factorizations are factors which differ by 5?
The combination of 4 and 9.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A=L%2AW=36
L=5%2BW
Substituting,
%285%2BW%29W=36
W%5E2%2B5W-36=0
%28W%2B9%29%28W-4%29=0
Only positive solutions make sense so,
W-4=0
W=4
Now use either equation to solve for L.