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.

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) (Show Source): You can put this solution on YOUR website!
, 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) (Show Source): You can put this solution on YOUR website!

Substituting,

Only positive solutions make sense so,

Now use either equation to solve for L.

RELATED QUESTIONS
The length of a rectangular garden is 6 feet longer than its width. If the area of the... (answered by Alan3354)
the length of a rectangular garden is 6 feet longer than its width if the area of the... (answered by macston)
The length of a rectangular flower garden is 5 feet longer... (answered by checkley79)
The length of a rectangular garden is 5 feet greater than the width. The area of the... (answered by addingup)
The length of a rectangular garden is 5 feet longer than the width. The garden is... (answered by malakumar_kos@yahoo.com,edjones)
The length of a rectangular garden is 5 feet longer than its width. The garden is... (answered by mathanator)
the organic garden at a restaurant is rectangular in shape and has a perimeter of 84... (answered by TimothyLamb)
A rectangular garden is three times longer as it is wide. If the area of the garden is... (answered by Stitch)
The length of a rectangular flower garden is four feet more than its width. The area is... (answered by ReadingBoosters)