SOLUTION: A garden has an area of 320 square feet. It's length is 4 feet more than its width. What are the dimensions of the garden?

Question 1050956: A garden has an area of 320 square feet. It's length is 4 feet more than its width. What are the dimensions of the garden?
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
area of 320 square feet. It's length is 4 feet more
L*W = 320
L = W+4 Substitute for L above:
(W+4)*W = 320
W^2+4W = 320
W^2+4W-320 = 0
factor the left side
(W-16)(W+20) = 0
W-16 = 0 or W+20 = 0
W = 16 or W = -20
We are not looking for a negative number so set the -20 aside and let's try the 16:
L = W+4 = 16+4 = 20
L*W = 320
20*16 = 320 Correct
:
John
RELATED QUESTIONS
A small vegetable garden has an area of 80 square feet. Its length is 2 feet more than... (answered by checkley79)

A garden has an area of 285ft squared. Its length is 4 ft more than it’s width. What... (answered by Alan3354,josgarithmetic)

Using polynomials, could you write this out for me, with solution? Linda has a garden. (answered by gonzo)

If a garden has an area of 252 ft^2. Its length is 4 ft more than its width. What are... (answered by stanbon)

A rectangular garden has an area of 180 square feet. If the width of the garden is 3 feet (answered by solver91311)

The length of a rectangular garden is 5 feet longer than its width. The garden is... (answered by mathanator)

the length of a rectangular garden is 5 feet more than its width the area of the garden... (answered by ikleyn)

The Length of Hillcrest Garden is 6 feet more than its width. A walkway 3 feet wide... (answered by checkley77)

the perimeter of a rectangular garden is 64 feet. if the length is 4 feet less than twice (answered by sachi)