SOLUTION: The length of a rectangular flower garden is four feet more than its width. The area is 32 square feet. Find the length and width of the garden.

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Question 663763: The length of a rectangular flower garden is four feet more than its width. The area is 32 square feet. Find the length and width of the garden.
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
l = w+4
a=32=lw
32=w(w+4)
32=w^2+4w
w^2 + 4w - 32 = 0
(w+ )(w- ) mixed sign due to + 4 and - 32
(w+8)(w-4)=0
w+8=0 so w=-8, width cannot be negative
w-4=0 so w=4
width is 4 ft
length is 4+4= 8 ft
...
Verify
area = 8(4) = 32 ft^2
............
Delighted to help.
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