SOLUTION: The Length of a rectangular garden is 4m greater than the width. Th area of the Garden is 96m squared. Find the length and the width. I can get to the part of w(w+4)=96

Question 502188: The Length of a rectangular garden is 4m greater than the width. Th area of the Garden is 96m squared. Find the length and the width.
I can get to the part of w(w+4)=96
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
L = length
W = width
L = W +4
A = 96 m^2
A = L*W
.
substitute for L
.
(W+4)(W)=96
W^2 +4W - 96 = 0
.
factor
.
(W-8)(W+12)=0
.
So,
.
W = 8 or -12
.
You cannot have negative width, so W =8.
.
L = W+4
L = 12.
.
8*12 = 96, so the area is correct and,
12 is 4 more than 8.
.
Answer: Length = 12 m; Width = 8 m.
.
Done.
RELATED QUESTIONS
The length of a rectangular garden is 4 m greater than the width. The area of the garden (answered by LtAurora)

The perimeter of a rectangular garden is 96m. The length of the garden is 8 more than the (answered by BGutridge)

the length of a rectangular garden is 4m greater than the width. The area is 60 m^2.... (answered by MO dawg)

The length of a rectangular garden is 4 cm greater than the width. The area of the... (answered by checkley77)

The length of a rectangular garden is 5 feet greater than the width. The area of the... (answered by addingup)

The lengthy of a rectangular garden is 2 yd greater than the width. The area is 80 yd... (answered by stanbon)

The area of a rectangular garden is 140m2.If its length is 4m more than its width,find... (answered by Theo)

The perimeter of a rectangular garden is 86 Yards. The width of th garden is 5 yards... (answered by addingup)

The length of a small rectangular garden is 1 meter greater than the width. The area of... (answered by addingup)